45460396800 has 1728 divisors, whose sum is σ = 212903040000. Its totient is φ = 9429073920.

The previous prime is 45460396739. The next prime is 45460396837. The reversal of 45460396800 is 869306454.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770515171 + ... + 770515229.

Almost surely, 2^45460396800 is an apocalyptic number.

45460396800 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 45460396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520000).

45460396800 is an abundant number, since it is smaller than the sum of its proper divisors (167442643200).

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

45460396800 is a wasteful number, since it uses less digits than its factorization.

45460396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 45460396800 in words is "forty-five billion, four hundred sixty million, three hundred ninety-six thousand, eight hundred".