445117642857888 has 288 divisors, whose sum is σ = 1596820637280960. Its totient is φ = 106721512611840.

The previous prime is 445117642857869. The next prime is 445117642857947. The reversal of 445117642857888 is 888758246711544.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330185193 + ... + 331530536.

It is an arithmetic number, because the mean of its divisors is an integer number (5544516101670).

Almost surely, 2^{445117642857888} is an apocalyptic number.

445117642857888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

445117642857888 is an abundant number, since it is smaller than the sum of its proper divisors (1151702994423072).

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

445117642857888 is a wasteful number, since it uses less digits than its factorization.

445117642857888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661715780 (or 661715765 counting only the distinct ones).

The product of its digits is 3853516800, while the sum is 78.

The spelling of 445117642857888 in words is "four hundred forty-five trillion, one hundred seventeen billion, six hundred forty-two million, eight hundred fifty-seven thousand, eight hundred eighty-eight".