13948403616 has 72 divisors (see below), whose sum is σ = 45332318304. Its totient is φ = 3985257600.

The previous prime is 13948403561. The next prime is 13948403653. The reversal of 13948403616 is 61630484931.

13948403616 is a `hidden beast` number, since 139 + 484 + 0 + 36 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 3457410 + ... + 3461441.

It is an arithmetic number, because the mean of its divisors is an integer number (629615532).

Almost surely, 2^13948403616 is an apocalyptic number.

13948403616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13948403616 is an abundant number, since it is smaller than the sum of its proper divisors (31383914688).

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

13948403616 is a wasteful number, since it uses less digits than its factorization.

13948403616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918874 (or 6918863 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13948403616 in words is "thirteen billion, nine hundred forty-eight million, four hundred three thousand, six hundred sixteen".