1113958656 has 252 divisors, whose sum is σ = 3431565312. Its totient is φ = 360557568.

The previous prime is 1113958639. The next prime is 1113958661. The reversal of 1113958656 is 6568593111.

1113958656 is a `hidden beast` number, since 1 + 1 + 13 + 9 + 586 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8771265 + ... + 8771391.

Almost surely, 2^1113958656 is an apocalyptic number.

1113958656 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 1113958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715782656).

1113958656 is an abundant number, since it is smaller than the sum of its proper divisors (2317606656).

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

1113958656 is an frugal number, since it uses more digits than its factorization.

1113958656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 1113958656 is about 33376.0191754499. The cubic root of 1113958656 is about 1036.6282122788.

The spelling of 1113958656 in words is "one billion, one hundred thirteen million, nine hundred fifty-eight thousand, six hundred fifty-six".