45608500224 has 220 divisors, whose sum is σ = 155654436784. Its totient is φ = 13030834176.

The previous prime is 45608500213. The next prime is 45608500241. The reversal of 45608500224 is 42200580654.

It is a happy number.

45608500224 is a `hidden beast` number, since 45 + 608 + 5 + 0 + 0 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 541332 + ... + 619884.

Almost surely, 2^45608500224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45608500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77827218392).

45608500224 is an abundant number, since it is smaller than the sum of its proper divisors (110045936560).

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

45608500224 is an equidigital number, since it uses as much as digits as its factorization.

45608500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78592 (or 78565 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45608500224 in words is "forty-five billion, six hundred eight million, five hundred thousand, two hundred twenty-four".