45704217600 has 924 divisors, whose sum is σ = 177557762560. Its totient is φ = 11645337600.

The previous prime is 45704217571. The next prime is 45704217623. The reversal of 45704217600 is 671240754.

45704217600 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 42 + 1 + 7 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 578534361 + ... + 578534439.

Almost surely, 2^45704217600 is an apocalyptic number.

45704217600 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 45704217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88778881280).

45704217600 is an abundant number, since it is smaller than the sum of its proper divisors (131853544960).

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

45704217600 is an equidigital number, since it uses as much as digits as its factorization.

45704217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 45704217600 in words is "forty-five billion, seven hundred four million, two hundred seventeen thousand, six hundred".