111925587456 has 400 divisors, whose sum is σ = 342960111648. Its totient is φ = 36329472000.

The previous prime is 111925587421. The next prime is 111925587469. The reversal of 111925587456 is 654785529111.

111925587456 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 2 + 5 + 587 + 4 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381998446 + ... + 381998738.

Almost surely, 2^111925587456 is an apocalyptic number.

111925587456 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 111925587456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171480055824).

111925587456 is an abundant number, since it is smaller than the sum of its proper divisors (231034524192).

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

111925587456 is an equidigital number, since it uses as much as digits as its factorization.

111925587456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 510 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 111925587456 in words is "one hundred eleven billion, nine hundred twenty-five million, five hundred eighty-seven thousand, four hundred fifty-six".