13678890624 has 96 divisors (see below), whose sum is σ = 44985663840. Its totient is φ = 3908252160.

The previous prime is 13678890619. The next prime is 13678890637. The reversal of 13678890624 is 42609887631.

13678890624 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 8 + 8 + 9 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13678890624² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840082 + ... + 856209.

It is an arithmetic number, because the mean of its divisors is an integer number (468600665).

Almost surely, 2^13678890624 is an apocalyptic number.

13678890624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13678890624 is an abundant number, since it is smaller than the sum of its proper divisors (31306773216).

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

13678890624 is a wasteful number, since it uses less digits than its factorization.

13678890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696318 (or 1696303 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13678890624 in words is "thirteen billion, six hundred seventy-eight million, eight hundred ninety thousand, six hundred twenty-four".