64114429833216 has 1248 divisors, whose sum is σ = 225272204531712. Its totient is φ = 17174683975680.

The previous prime is 64114429833173. The next prime is 64114429833263. The reversal of 64114429833216 is 61233892441146.

64114429833216 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 4 + 4 + 298 + 332 + 16 = 666.

It is a super-2 number, since 2×64114429833216² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 98184425146 + ... + 98184425798.

It is an arithmetic number, because the mean of its divisors is an integer number (180506574144).

Almost surely, 2^{64114429833216} 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 64114429833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112636102265856).

64114429833216 is an abundant number, since it is smaller than the sum of its proper divisors (161157774698496).

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

64114429833216 is a wasteful number, since it uses less digits than its factorization.

64114429833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 992 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 64114429833216 in words is "sixty-four trillion, one hundred fourteen billion, four hundred twenty-nine million, eight hundred thirty-three thousand, two hundred sixteen".