445537735544 has 64 divisors (see below), whose sum is σ = 931815360000. Its totient is φ = 198004003200.

The previous prime is 445537735543. The next prime is 445537735561.

It is a happy number.

445537735544 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 445537735544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445537735543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647957 + ... + 1144955.

It is an arithmetic number, because the mean of its divisors is an integer number (14559615000).

Almost surely, 2^445537735544 is an apocalyptic number.

445537735544 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 445537735544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465907680000).

445537735544 is an abundant number, since it is smaller than the sum of its proper divisors (486277624456).

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

445537735544 is a wasteful number, since it uses less digits than its factorization.

445537735544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497244 (or 497240 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 56.

The spelling of 445537735544 in words is "four hundred forty-five billion, five hundred thirty-seven million, seven hundred thirty-five thousand, five hundred forty-four".