45608532480 has 480 divisors, whose sum is σ = 185423382144. Its totient is φ = 10141728768.

The previous prime is 45608532457. The next prime is 45608532511. The reversal of 45608532480 is 8423580654.

45608532480 is a `hidden beast` number, since 4 + 5 + 60 + 85 + 32 + 480 = 666.

45608532480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5963539 + ... + 5971181.

Almost surely, 2^45608532480 is an apocalyptic number.

45608532480 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 45608532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92711691072).

45608532480 is an abundant number, since it is smaller than the sum of its proper divisors (139814849664).

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

45608532480 is a wasteful number, since it uses less digits than its factorization.

45608532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7697 counting only the distinct ones).

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

The spelling of 45608532480 in words is "forty-five billion, six hundred eight million, five hundred thirty-two thousand, four hundred eighty".