13487294016 has 224 divisors, whose sum is σ = 46878240000. Its totient is φ = 3720536064.

The previous prime is 13487293993. The next prime is 13487294017. The reversal of 13487294016 is 61049278431.

13487294016 is a `hidden beast` number, since 1 + 348 + 7 + 294 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (13487294017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331560 + ... + 370008.

Almost surely, 2^13487294016 is an apocalyptic number.

13487294016 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 13487294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23439120000).

13487294016 is an abundant number, since it is smaller than the sum of its proper divisors (33390945984).

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

13487294016 is a wasteful number, since it uses less digits than its factorization.

13487294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38506 (or 38490 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13487294016 in words is "thirteen billion, four hundred eighty-seven million, two hundred ninety-four thousand, sixteen".