45580326480 has 960 divisors, whose sum is σ = 180577942272. Its totient is φ = 10610196480.

The previous prime is 45580326359. The next prime is 45580326511. The reversal of 45580326480 is 8462308554.

45580326480 is a `hidden beast` number, since 4 + 5 + 580 + 3 + 2 + 64 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 549160519 + ... + 549160601.

Almost surely, 2^45580326480 is an apocalyptic number.

45580326480 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 45580326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90288971136).

45580326480 is an abundant number, since it is smaller than the sum of its proper divisors (134997615792).

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

45580326480 is a wasteful number, since it uses less digits than its factorization.

45580326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45580326480 in words is "forty-five billion, five hundred eighty million, three hundred twenty-six thousand, four hundred eighty".