14947272272160 has 576 divisors, whose sum is σ = 55173479961600. Its totient is φ = 3672085487616.

The previous prime is 14947272272111. The next prime is 14947272272203. The reversal of 14947272272160 is 6127227274941.

14947272272160 is a `hidden beast` number, since 1 + 4 + 9 + 47 + 272 + 272 + 1 + 60 = 666.

It is a super-2 number, since 2×14947272272160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14947272272097 and 14947272272106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2831456401 + ... + 2831461679.

It is an arithmetic number, because the mean of its divisors is an integer number (95787291600).

Almost surely, 2^{14947272272160} is an apocalyptic number.

14947272272160 is a gapful number since it is divisible by the number (10) 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 14947272272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27586739980800).

14947272272160 is an abundant number, since it is smaller than the sum of its proper divisors (40226207689440).

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

14947272272160 is a wasteful number, since it uses less digits than its factorization.

14947272272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 14947272272160 in words is "fourteen trillion, nine hundred forty-seven billion, two hundred seventy-two million, two hundred seventy-two thousand, one hundred sixty".