13601913952 has 216 divisors, whose sum is σ = 32026146768. Its totient is φ = 5677309440.

The previous prime is 13601913943. The next prime is 13601913967. The reversal of 13601913952 is 25931910631.

13601913952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13601913952² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51718173 + ... + 51718435.

It is an arithmetic number, because the mean of its divisors is an integer number (148269198).

Almost surely, 2^13601913952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13601913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013073384).

13601913952 is an abundant number, since it is smaller than the sum of its proper divisors (18424232816).

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

13601913952 is a wasteful number, since it uses less digits than its factorization.

13601913952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The spelling of 13601913952 in words is "thirteen billion, six hundred one million, nine hundred thirteen thousand, nine hundred fifty-two".