45073719600 has 360 divisors, whose sum is σ = 178688063232. Its totient is φ = 9509760000.

The previous prime is 45073719577. The next prime is 45073719631. The reversal of 45073719600 is 691737054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1403725 + ... + 1435475.

Almost surely, 2^45073719600 is an apocalyptic number.

45073719600 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 45073719600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89344031616).

45073719600 is an abundant number, since it is smaller than the sum of its proper divisors (133614343632).

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

45073719600 is a wasteful number, since it uses less digits than its factorization.

45073719600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31805 (or 31781 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 45073719600 in words is "forty-five billion, seventy-three million, seven hundred nineteen thousand, six hundred".