1117558656 has 192 divisors, whose sum is σ = 3343747680. Its totient is φ = 357986304.

The previous prime is 1117558643. The next prime is 1117558667. The reversal of 1117558656 is 6568557111.

It is a happy number.

1117558656 is a `hidden beast` number, since 1 + 1 + 17 + 5 + 586 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6691885 + ... + 6692051.

Almost surely, 2^1117558656 is an apocalyptic number.

1117558656 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 1117558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671873840).

1117558656 is an abundant number, since it is smaller than the sum of its proper divisors (2226189024).

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

1117558656 is a wasteful number, since it uses less digits than its factorization.

1117558656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 1117558656 is about 33429.9066106982. The cubic root of 1117558656 is about 1037.7437080944.

The spelling of 1117558656 in words is "one billion, one hundred seventeen million, five hundred fifty-eight thousand, six hundred fifty-six".