1125354511008 has 1440 divisors, whose sum is σ = 4322689232400. Its totient is φ = 286125944832.

The previous prime is 1125354510997. The next prime is 1125354511037. The reversal of 1125354511008 is 8001154535211.

1125354511008 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 545 + 1 + 100 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20560118544 + 1104794392464 = 143388^2 + 1051092^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10324353258 + ... + 10324353366.

Almost surely, 2^{1125354511008} is an apocalyptic number.

1125354511008 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 1125354511008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161344616200).

1125354511008 is an abundant number, since it is smaller than the sum of its proper divisors (3197334721392).

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

1125354511008 is a wasteful number, since it uses less digits than its factorization.

1125354511008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1125354511008 in words is "one trillion, one hundred twenty-five billion, three hundred fifty-four million, five hundred eleven thousand, eight".