45570816000 has 768 divisors, whose sum is σ = 177847488000. Its totient is φ = 11479449600.

The previous prime is 45570815999. The next prime is 45570816007. The reversal of 45570816000 is 61807554.

45570816000 is a `hidden beast` number, since 4 + 5 + 570 + 81 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45570816007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131327827 + ... + 131328173.

It is an arithmetic number, because the mean of its divisors is an integer number (231572250).

Almost surely, 2^45570816000 is an apocalyptic number.

45570816000 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 45570816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88923744000).

45570816000 is an abundant number, since it is smaller than the sum of its proper divisors (132276672000).

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

45570816000 is a wasteful number, since it uses less digits than its factorization.

45570816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 45570816000 in words is "forty-five billion, five hundred seventy million, eight hundred sixteen thousand".