1125623955456 has 2048 divisors, whose sum is σ = 4735129190400. Its totient is φ = 254803968000.

The previous prime is 1125623955439. The next prime is 1125623955527. The reversal of 1125623955456 is 6545593265211.

1125623955456 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 6 + 2 + 3 + 95 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×1125623955456² (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).

Its product of digits (9720000) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27454242796 + ... + 27454242836.

It is an arithmetic number, because the mean of its divisors is an integer number (2312074800).

Almost surely, 2^{1125623955456} is an apocalyptic number.

1125623955456 is a gapful number since it is divisible by the number (16) 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 1125623955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367564595200).

1125623955456 is an abundant number, since it is smaller than the sum of its proper divisors (3609505234944).

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

1125623955456 is a wasteful number, since it uses less digits than its factorization.

1125623955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 1125623955456 in words is "one trillion, one hundred twenty-five billion, six hundred twenty-three million, nine hundred fifty-five thousand, four hundred fifty-six".