12617802432 has 224 divisors, whose sum is σ = 38001000960. Its totient is φ = 4104023040.

The previous prime is 12617802391. The next prime is 12617802443. The reversal of 12617802432 is 23420871621.

It is a happy number.

12617802432 is a `hidden beast` number, since 1 + 2 + 617 + 8 + 0 + 2 + 4 + 32 = 666.

It is a super-3 number, since 3×12617802432³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28482403 + ... + 28482845.

Almost surely, 2^12617802432 is an apocalyptic number.

12617802432 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 12617802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000500480).

12617802432 is an abundant number, since it is smaller than the sum of its proper divisors (25383198528).

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

12617802432 is a wasteful number, since it uses less digits than its factorization.

12617802432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12617802432 in words is "twelve billion, six hundred seventeen million, eight hundred two thousand, four hundred thirty-two".