4711915864128 has 448 divisors, whose sum is σ = 14514433597440. Its totient is φ = 1334790758400.

The previous prime is 4711915864063. The next prime is 4711915864153. The reversal of 4711915864128 is 8214685191174.

It is a super-2 number, since 2×4711915864128² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2531925918 + ... + 2531927778.

It is an arithmetic number, because the mean of its divisors is an integer number (32398289280).

Almost surely, 2^{4711915864128} is an apocalyptic number.

4711915864128 is a gapful number since it is divisible by the number (48) 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 4711915864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257216798720).

4711915864128 is an abundant number, since it is smaller than the sum of its proper divisors (9802517733312).

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

4711915864128 is a wasteful number, since it uses less digits than its factorization.

4711915864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3056 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 57.

The spelling of 4711915864128 in words is "four trillion, seven hundred eleven billion, nine hundred fifteen million, eight hundred sixty-four thousand, one hundred twenty-eight".