4465859374564 has 81 divisors (see below), whose sum is σ = 9141296040009. Its totient is φ = 1903453745760.

The previous prime is 4465859374531. The next prime is 4465859374591. The reversal of 4465859374564 is 4654739585644.

The square root of 4465859374564 is 2113258.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 391888520100 + 4073970854464 = 626010^2 + 2018408^2 .

It is a super-2 number, since 2×4465859374564² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4465859374493 and 4465859374502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8017700574 + ... + 8017701130.

Almost surely, 2^{4465859374564} is an apocalyptic number.

4465859374564 is the 2113258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4465859374564

4465859374564 is an abundant number, since it is smaller than the sum of its proper divisors (4675436665445).

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

4465859374564 is an frugal number, since it uses more digits than its factorization.

4465859374564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 837 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 70.

The spelling of 4465859374564 in words is "four trillion, four hundred sixty-five billion, eight hundred fifty-nine million, three hundred seventy-four thousand, five hundred sixty-four".