445657424756544 has 1008 divisors, whose sum is σ = 1729232356575360. Its totient is φ = 106780861440000.

The previous prime is 445657424756527. The next prime is 445657424756581.

445657424756544 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 5 + 7 + 4 + 2 + 4 + 75 + 6 + 544 = 666.

445657424756544 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×445657424756544² (a number of 30 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 10014526294 + ... + 10014570794.

Almost surely, 2^{445657424756544} is an apocalyptic number.

445657424756544 is a gapful number since it is divisible by the number (44) 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 445657424756544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864616178287680).

445657424756544 is an abundant number, since it is smaller than the sum of its proper divisors (1283574931818816).

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

445657424756544 is a wasteful number, since it uses less digits than its factorization.

445657424756544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46140 (or 46116 counting only the distinct ones).

The product of its digits is 9031680000, while the sum is 72.

The spelling of 445657424756544 in words is "four hundred forty-five trillion, six hundred fifty-seven billion, four hundred twenty-four million, seven hundred fifty-six thousand, five hundred forty-four".