13490761536 has 504 divisors, whose sum is σ = 49218713856. Its totient is φ = 3506872320.

The previous prime is 13490761511. The next prime is 13490761541. The reversal of 13490761536 is 63516709431.

It is a happy number.

13490761536 is a `hidden beast` number, since 1 + 3 + 49 + 0 + 76 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 13490761491 and 13490761500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14873595 + ... + 14874501.

Almost surely, 2^13490761536 is an apocalyptic number.

13490761536 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 13490761536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24609356928).

13490761536 is an abundant number, since it is smaller than the sum of its proper divisors (35727952320).

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

13490761536 is a wasteful number, since it uses less digits than its factorization.

13490761536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13490761536 in words is "thirteen billion, four hundred ninety million, seven hundred sixty-one thousand, five hundred thirty-six".