1117205413632 has 1296 divisors, whose sum is σ = 4410526848000. Its totient is φ = 265175285760.

The previous prime is 1117205413601. The next prime is 1117205413679. The reversal of 1117205413632 is 2363145027111.

1117205413632 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 2 + 0 + 5 + 4 + 13 + 632 = 666.

It is a super-2 number, since 2×1117205413632² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1075269369 + ... + 1075270407.

Almost surely, 2^{1117205413632} is an apocalyptic number.

1117205413632 is a gapful number since it is divisible by the number (12) 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 1117205413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205263424000).

1117205413632 is an abundant number, since it is smaller than the sum of its proper divisors (3293321434368).

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

1117205413632 is a wasteful number, since it uses less digits than its factorization.

1117205413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1117205413632 in words is "one trillion, one hundred seventeen billion, two hundred five million, four hundred thirteen thousand, six hundred thirty-two".