4312374764544 has 2376 divisors, whose sum is σ = 17171937793920. Its totient is φ = 1076029194240.

The previous prime is 4312374764497. The next prime is 4312374764567. The reversal of 4312374764544 is 4454674732134.

It is a happy number.

4312374764544 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 37 + 4 + 7 + 64 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a super-2 number, since 2×4312374764544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 54587022297 + ... + 54587022375.

Almost surely, 2^{4312374764544} is an apocalyptic number.

4312374764544 is a gapful number since it is divisible by the number (44) 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 4312374764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585968896960).

4312374764544 is an abundant number, since it is smaller than the sum of its proper divisors (12859563029376).

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

4312374764544 is a wasteful number, since it uses less digits than its factorization.

4312374764544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 139 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 54.

The spelling of 4312374764544 in words is "four trillion, three hundred twelve billion, three hundred seventy-four million, seven hundred sixty-four thousand, five hundred forty-four".