1125207963648 has 768 divisors, whose sum is σ = 3739609036800. Its totient is φ = 332448399360.

The previous prime is 1125207963641. The next prime is 1125207963653. The reversal of 1125207963648 is 8463697025211.

It is a happy number.

1125207963648 is a `hidden beast` number, since 1 + 1 + 2 + 520 + 79 + 6 + 3 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1125207963648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1125207963594 and 1125207963603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125207963641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535071890 + ... + 1535072622.

It is an arithmetic number, because the mean of its divisors is an integer number (4869282600).

It is a 1-persistent number, because it is pandigital, but 2⋅1125207963648 = 2250415927296 is not.

Almost surely, 2^{1125207963648} is an apocalyptic number.

1125207963648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125207963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869804518400).

1125207963648 is an abundant number, since it is smaller than the sum of its proper divisors (2614401073152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1125207963648 is a wasteful number, since it uses less digits than its factorization.

1125207963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1125207963648 in words is "one trillion, one hundred twenty-five billion, two hundred seven million, nine hundred sixty-three thousand, six hundred forty-eight".