872415468454048 has 24 divisors (see below), whose sum is σ = 1763988709021812. Its totient is φ = 424418336004096.

The previous prime is 872415468454039. The next prime is 872415468454051. The reversal of 872415468454048 is 840454864514278.

It can be written as a sum of positive squares in 2 ways, for example, as 871205354051344 + 1210114402704 = 29516188^2 + 1100052^2 .

It is a super-2 number, since 2×872415468454048² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368418693265 + ... + 368418695632.

Almost surely, 2^{872415468454048} is an apocalyptic number.

It is an amenable number.

872415468454048 is an abundant number, since it is smaller than the sum of its proper divisors (891573240567764).

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

872415468454048 is a wasteful number, since it uses less digits than its factorization.

872415468454048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736837388944 (or 736837388936 counting only the distinct ones).

The product of its (nonzero) digits is 1101004800, while the sum is 70.

The spelling of 872415468454048 in words is "eight hundred seventy-two trillion, four hundred fifteen billion, four hundred sixty-eight million, four hundred fifty-four thousand, forty-eight".