4314938715864 has 768 divisors, whose sum is σ = 14465138688000. Its totient is φ = 1179527132160.

The previous prime is 4314938715859. The next prime is 4314938715869. The reversal of 4314938715864 is 4685178394134.

4314938715864 is a `hidden beast` number, since 4 + 3 + 1 + 49 + 3 + 8 + 7 + 1 + 586 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4314938715859) and next prime (4314938715869).

It is a super-2 number, since 2×4314938715864² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (69672960) is a multiple of the sum of its prime factors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314938715869) 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, 9829017357 + ... + 9829017795.

It is an arithmetic number, because the mean of its divisors is an integer number (18834816000).

Almost surely, 2^{4314938715864} 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 4314938715864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232569344000).

4314938715864 is an abundant number, since it is smaller than the sum of its proper divisors (10150199972136).

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

4314938715864 is a wasteful number, since it uses less digits than its factorization.

4314938715864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 4314938715864 in words is "four trillion, three hundred fourteen billion, nine hundred thirty-eight million, seven hundred fifteen thousand, eight hundred sixty-four".