45694810224000 has 768 divisors, whose sum is σ = 188364480220800. Its totient is φ = 10398866227200.

The previous prime is 45694810223977. The next prime is 45694810224053. The reversal of 45694810224000 is 42201849654.

It is a happy number.

45694810224000 is a `hidden beast` number, since 4 + 56 + 94 + 8 + 102 + 2 + 400 + 0 = 666.

45694810224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230733022 + ... + 230930978.

Almost surely, 2^{45694810224000} is an apocalyptic number.

45694810224000 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 45694810224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94182240110400).

45694810224000 is an abundant number, since it is smaller than the sum of its proper divisors (142669669996800).

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

45694810224000 is a wasteful number, since it uses less digits than its factorization.

45694810224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198228 (or 198203 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45694810224000 in words is "forty-five trillion, six hundred ninety-four billion, eight hundred ten million, two hundred twenty-four thousand".