13965942816 has 144 divisors (see below), whose sum is σ = 48059391744. Its totient is φ = 3755538432.

The previous prime is 13965942803. The next prime is 13965942827. The reversal of 13965942816 is 61824956931.

13965942816 is a `hidden beast` number, since 1 + 39 + 6 + 594 + 2 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×13965942816³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169480 + ... + 238023.

It is an arithmetic number, because the mean of its divisors is an integer number (333745776).

Almost surely, 2^13965942816 is an apocalyptic number.

13965942816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13965942816 is an abundant number, since it is smaller than the sum of its proper divisors (34093448928).

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

13965942816 is a wasteful number, since it uses less digits than its factorization.

13965942816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407543 (or 407532 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 13965942816 in words is "thirteen billion, nine hundred sixty-five million, nine hundred forty-two thousand, eight hundred sixteen".