84465056448 has 112 divisors (see below), whose sum is σ = 254368218720. Its totient is φ = 27468288000.

The previous prime is 84465056441. The next prime is 84465056497.

84465056448 is a `hidden beast` number, since 84 + 465 + 0 + 5 + 64 + 48 = 666.

84465056448 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 84465056394 and 84465056403.

It is not an unprimeable number, because it can be changed into a prime (84465056441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525253 + ... + 666948.

It is an arithmetic number, because the mean of its divisors is an integer number (2271144810).

Almost surely, 2^84465056448 is an apocalyptic number.

It is an amenable number.

84465056448 is an abundant number, since it is smaller than the sum of its proper divisors (169903162272).

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

84465056448 is a wasteful number, since it uses less digits than its factorization.

84465056448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192263 (or 1192247 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 84465056448 in words is "eighty-four billion, four hundred sixty-five million, fifty-six thousand, four hundred forty-eight".