45479808000 has 1056 divisors, whose sum is σ = 185514009408. Its totient is φ = 10616832000.

The previous prime is 45479807929. The next prime is 45479808041. The reversal of 45479808000 is 80897454.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468863952 + ... + 468864048.

Almost surely, 2^45479808000 is an apocalyptic number.

45479808000 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 45479808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92757004704).

45479808000 is an abundant number, since it is smaller than the sum of its proper divisors (140034201408).

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

45479808000 is a wasteful number, since it uses less digits than its factorization.

45479808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 45479808000 in words is "forty-five billion, four hundred seventy-nine million, eight hundred eight thousand".