45443312640 has 264 divisors, whose sum is σ = 171776346768. Its totient is φ = 11016437760.

The previous prime is 45443312609. The next prime is 45443312657. The reversal of 45443312640 is 4621334454.

45443312640 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 3 + 3 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45443312595 and 45443312604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462054 + ... + 551706.

Almost surely, 2^45443312640 is an apocalyptic number.

45443312640 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 45443312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85888173384).

45443312640 is an abundant number, since it is smaller than the sum of its proper divisors (126333034128).

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

45443312640 is a wasteful number, since it uses less digits than its factorization.

45443312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89695 (or 89674 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 45443312640 in words is "forty-five billion, four hundred forty-three million, three hundred twelve thousand, six hundred forty".