45444631680 has 768 divisors, whose sum is σ = 190600300800. Its totient is φ = 9746251776.

The previous prime is 45444631669. The next prime is 45444631697. The reversal of 45444631680 is 8613644454.

45444631680 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 4 + 631 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 104952744 + ... + 104953176.

It is an arithmetic number, because the mean of its divisors is an integer number (248177475).

Almost surely, 2^45444631680 is an apocalyptic number.

45444631680 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 45444631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95300150400).

45444631680 is an abundant number, since it is smaller than the sum of its proper divisors (145155669120).

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

45444631680 is a wasteful number, since it uses less digits than its factorization.

45444631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 45444631680 in words is "forty-five billion, four hundred forty-four million, six hundred thirty-one thousand, six hundred eighty".