45869709600 has 1296 divisors, whose sum is σ = 200715278400. Its totient is φ = 9752371200.

The previous prime is 45869709583. The next prime is 45869709631. The reversal of 45869709600 is 690796854.

45869709600 is a `hidden beast` number, since 458 + 69 + 70 + 9 + 60 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 307850326 + ... + 307850474.

It is an arithmetic number, because the mean of its divisors is an integer number (154872900).

Almost surely, 2^45869709600 is an apocalyptic number.

45869709600 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 45869709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100357639200).

45869709600 is an abundant number, since it is smaller than the sum of its proper divisors (154845568800).

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

45869709600 is a wasteful number, since it uses less digits than its factorization.

45869709600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 45869709600 in words is "forty-five billion, eight hundred sixty-nine million, seven hundred nine thousand, six hundred".