45580374840 has 1152 divisors, whose sum is σ = 198044766720. Its totient is φ = 8146944000.

The previous prime is 45580374839. The next prime is 45580374877. The reversal of 45580374840 is 4847308554.

45580374840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45580374840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 451290790 + ... + 451290890.

It is an arithmetic number, because the mean of its divisors is an integer number (171913860).

Almost surely, 2^45580374840 is an apocalyptic number.

45580374840 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 45580374840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99022383360).

45580374840 is an abundant number, since it is smaller than the sum of its proper divisors (152464391880).

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

45580374840 is a wasteful number, since it uses less digits than its factorization.

45580374840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 45580374840 in words is "forty-five billion, five hundred eighty million, three hundred seventy-four thousand, eight hundred forty".