45704448000 has 576 divisors, whose sum is σ = 167421945600. Its totient is φ = 11990630400.

The previous prime is 45704447989. The next prime is 45704448019. The reversal of 45704448000 is 84440754.

45704448000 is a `hidden beast` number, since 4 + 570 + 4 + 4 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191231881 + ... + 191232119.

It is an arithmetic number, because the mean of its divisors is an integer number (290663100).

Almost surely, 2^45704448000 is an apocalyptic number.

45704448000 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 45704448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83710972800).

45704448000 is an abundant number, since it is smaller than the sum of its proper divisors (121717497600).

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

45704448000 is a wasteful number, since it uses less digits than its factorization.

45704448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 45704448000 its reverse (84440754), we get a palindrome (45788888754).

The spelling of 45704448000 in words is "forty-five billion, seven hundred four million, four hundred forty-eight thousand".