12613813632 has 432 divisors, whose sum is σ = 44634950100. Its totient is φ = 3408749568.

The previous prime is 12613813621. The next prime is 12613813643. The reversal of 12613813632 is 23631831621.

12613813632 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 8 + 13 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (12613813621) and next prime (12613813643).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20377419 + ... + 20378037.

Almost surely, 2^12613813632 is an apocalyptic number.

12613813632 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 12613813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22317475050).

12613813632 is an abundant number, since it is smaller than the sum of its proper divisors (32021136468).

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

12613813632 is a wasteful number, since it uses less digits than its factorization.

12613813632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 650 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 12613813632 in words is "twelve billion, six hundred thirteen million, eight hundred thirteen thousand, six hundred thirty-two".