14916479616 has 384 divisors, whose sum is σ = 47381040000. Its totient is φ = 4616663040.

The previous prime is 14916479603. The next prime is 14916479621. The reversal of 14916479616 is 61697461941.

14916479616 is a `hidden beast` number, since 1 + 4 + 9 + 16 + 4 + 7 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74957085 + ... + 74957283.

It is an arithmetic number, because the mean of its divisors is an integer number (123388125).

Almost surely, 2^14916479616 is an apocalyptic number.

14916479616 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 14916479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23690520000).

14916479616 is an abundant number, since it is smaller than the sum of its proper divisors (32464560384).

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

14916479616 is a wasteful number, since it uses less digits than its factorization.

14916479616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 268 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 14916479616 in words is "fourteen billion, nine hundred sixteen million, four hundred seventy-nine thousand, six hundred sixteen".