14947621416 has 960 divisors, whose sum is σ = 58159918080. Its totient is φ = 3493601280.

The previous prime is 14947621391. The next prime is 14947621459. The reversal of 14947621416 is 61412674941.

14947621416 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 7 + 621 + 4 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 403989750 + ... + 403989786.

It is an arithmetic number, because the mean of its divisors is an integer number (60583248).

Almost surely, 2^14947621416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14947621416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29079959040).

14947621416 is an abundant number, since it is smaller than the sum of its proper divisors (43212296664).

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

14947621416 is a wasteful number, since it uses less digits than its factorization.

14947621416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

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

The spelling of 14947621416 in words is "fourteen billion, nine hundred forty-seven million, six hundred twenty-one thousand, four hundred sixteen".