13601887936 has 336 divisors, whose sum is σ = 35662477824. Its totient is φ = 5029060608.

The previous prime is 13601887921. The next prime is 13601887961. The reversal of 13601887936 is 63978810631.

It is a super-2 number, since 2×13601887936² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127120395 + ... + 127120501.

Almost surely, 2^13601887936 is an apocalyptic number.

13601887936 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 13601887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831238912).

13601887936 is an abundant number, since it is smaller than the sum of its proper divisors (22060589888).

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

13601887936 is a wasteful number, since it uses less digits than its factorization.

13601887936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 13601887936 in words is "thirteen billion, six hundred one million, eight hundred eighty-seven thousand, nine hundred thirty-six".