13537403964 has 240 divisors, whose sum is σ = 41749700608. Its totient is φ = 3744703872.

The previous prime is 13537403951. The next prime is 13537403969. The reversal of 13537403964 is 46930473531.

13537403964 is a `hidden beast` number, since 13 + 537 + 40 + 3 + 9 + 64 = 666.

It is a super-2 number, since 2×13537403964² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13537403969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12385002 + ... + 12386094.

Almost surely, 2^13537403964 is an apocalyptic number.

13537403964 is a gapful number since it is divisible by the number (14) 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 13537403964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20874850304).

13537403964 is an abundant number, since it is smaller than the sum of its proper divisors (28212296644).

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

13537403964 is a wasteful number, since it uses less digits than its factorization.

13537403964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 13537403964 in words is "thirteen billion, five hundred thirty-seven million, four hundred three thousand, nine hundred sixty-four".