445502050933632 has 1024 divisors, whose sum is σ = 1644931257753600. Its totient is φ = 103140753408000.

The previous prime is 445502050933619. The next prime is 445502050933661. The reversal of 445502050933632 is 236339050205544.

It is a super-2 number, since 2×445502050933632² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36778830808 + ... + 36778842920.

It is an arithmetic number, because the mean of its divisors is an integer number (1606378181400).

Almost surely, 2^{445502050933632} is an apocalyptic number.

445502050933632 is a gapful number since it is divisible by the number (42) 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 445502050933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822465628876800).

445502050933632 is an abundant number, since it is smaller than the sum of its proper divisors (1199429206819968).

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

445502050933632 is a wasteful number, since it uses less digits than its factorization.

445502050933632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16023 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 51.

The spelling of 445502050933632 in words is "four hundred forty-five trillion, five hundred two billion, fifty million, nine hundred thirty-three thousand, six hundred thirty-two".