45808598880 has 576 divisors, whose sum is σ = 178975899648. Its totient is φ = 10568724480.

The previous prime is 45808598851. The next prime is 45808598881. The reversal of 45808598880 is 8889580854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45808598881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27544929 + ... + 27546591.

It is an arithmetic number, because the mean of its divisors is an integer number (310722048).

Almost surely, 2^45808598880 is an apocalyptic number.

45808598880 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 45808598880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89487949824).

45808598880 is an abundant number, since it is smaller than the sum of its proper divisors (133167300768).

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

45808598880 is a wasteful number, since it uses less digits than its factorization.

45808598880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 45808598880 in words is "forty-five billion, eight hundred eight million, five hundred ninety-eight thousand, eight hundred eighty".