1117638656 has 78 divisors (see below), whose sum is σ = 2336155110. Its totient is φ = 533987328.

The previous prime is 1117638637. The next prime is 1117638659. The reversal of 1117638656 is 6568367111.

It can be written as a sum of positive squares in 3 ways, for example, as 134189056 + 983449600 = 11584^2 + 31360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117638659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11522000 + ... + 11522096.

Almost surely, 2^1117638656 is an apocalyptic number.

1117638656 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 1117638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168077555).

1117638656 is an abundant number, since it is smaller than the sum of its proper divisors (1218516454).

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

1117638656 is an frugal number, since it uses more digits than its factorization.

1117638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 128 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 1117638656 is about 33431.1031226910. The cubic root of 1117638656 is about 1037.7684696629.

The spelling of 1117638656 in words is "one billion, one hundred seventeen million, six hundred thirty-eight thousand, six hundred fifty-six".