45548642304 has 448 divisors, whose sum is σ = 149507326080. Its totient is φ = 13589544960.

The previous prime is 45548642299. The next prime is 45548642369. The reversal of 45548642304 is 40324684554.

45548642304 is a `hidden beast` number, since 4 + 554 + 8 + 64 + 2 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45548642304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236003232 + ... + 236003424.

It is an arithmetic number, because the mean of its divisors is an integer number (333721710).

Almost surely, 2^45548642304 is an apocalyptic number.

45548642304 is a gapful number since it is divisible by the number (44) 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 45548642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74753663040).

45548642304 is an abundant number, since it is smaller than the sum of its proper divisors (103958683776).

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

45548642304 is a wasteful number, since it uses less digits than its factorization.

45548642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 45548642304 in words is "forty-five billion, five hundred forty-eight million, six hundred forty-two thousand, three hundred four".