445996179457920 has 5760 divisors, whose sum is σ = 2111624868212640. Its totient is φ = 89290858954752.

The previous prime is 445996179457867. The next prime is 445996179457921. The reversal of 445996179457920 is 29754971699544.

445996179457920 is a `hidden beast` number, since 4 + 4 + 5 + 9 + 9 + 6 + 1 + 79 + 457 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×445996179457920² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 445996179457920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445996179457921) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 682995680314 + ... + 682995680966.

Almost surely, 2^{445996179457920} is an apocalyptic number.

445996179457920 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 445996179457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055812434106320).

445996179457920 is an abundant number, since it is smaller than the sum of its proper divisors (1665628688754720).

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

445996179457920 is a wasteful number, since it uses less digits than its factorization.

445996179457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 6172588800, while the sum is 81.

The spelling of 445996179457920 in words is "four hundred forty-five trillion, nine hundred ninety-six billion, one hundred seventy-nine million, four hundred fifty-seven thousand, nine hundred twenty".