445355967842496 has 1120 divisors, whose sum is σ = 1479628427397120. Its totient is φ = 131628146688000.

The previous prime is 445355967842453. The next prime is 445355967842507. The reversal of 445355967842496 is 694248769553544.

445355967842496 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 5 + 59 + 6 + 78 + 4 + 2 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 312969758841 + ... + 312969760263.

It is an arithmetic number, because the mean of its divisors is an integer number (1321096810176).

Almost surely, 2^{445355967842496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445355967842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739814213698560).

445355967842496 is an abundant number, since it is smaller than the sum of its proper divisors (1034272459554624).

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

445355967842496 is a wasteful number, since it uses less digits than its factorization.

445355967842496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2376 counting only the distinct ones).

The product of its digits is 31352832000, while the sum is 81.

The spelling of 445355967842496 in words is "four hundred forty-five trillion, three hundred fifty-five billion, nine hundred sixty-seven million, eight hundred forty-two thousand, four hundred ninety-six".