13934214272160 has 1152 divisors, whose sum is σ = 61219735718400. Its totient is φ = 2934021242880.

The previous prime is 13934214272123. The next prime is 13934214272161. The reversal of 13934214272160 is 6127241243931.

13934214272160 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 4 + 2 + 1 + 427 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13934214272161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1433703781 + ... + 1433713499.

It is an arithmetic number, because the mean of its divisors is an integer number (53142131700).

Almost surely, 2^{13934214272160} is an apocalyptic number.

13934214272160 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 13934214272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30609867859200).

13934214272160 is an abundant number, since it is smaller than the sum of its proper divisors (47285521446240).

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

13934214272160 is a wasteful number, since it uses less digits than its factorization.

13934214272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10291 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13934214272160 in words is "thirteen trillion, nine hundred thirty-four billion, two hundred fourteen million, two hundred seventy-two thousand, one hundred sixty".