445877712745920 has 3360 divisors, whose sum is σ = 2108089084856832. Its totient is φ = 88361811836928.

The previous prime is 445877712745901. The next prime is 445877712745963. The reversal of 445877712745920 is 29547217778544.

445877712745920 is a `hidden beast` number, since 4 + 4 + 5 + 8 + 7 + 7 + 7 + 1 + 27 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 170377420452 + ... + 170377423068.

Almost surely, 2^{445877712745920} is an apocalyptic number.

445877712745920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445877712745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054044542428416).

445877712745920 is an abundant number, since it is smaller than the sum of its proper divisors (1662211372110912).

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

445877712745920 is a wasteful number, since it uses less digits than its factorization.

445877712745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 1106380800, while the sum is 72.

The spelling of 445877712745920 in words is "four hundred forty-five trillion, eight hundred seventy-seven billion, seven hundred twelve million, seven hundred forty-five thousand, nine hundred twenty".