45918566400000 has 1080 divisors, whose sum is σ = 178063936584912. Its totient is φ = 10493952000000.

The previous prime is 45918566399977. The next prime is 45918566400023. The reversal of 45918566400000 is 466581954.

It is an interprime number because it is at equal distance from previous prime (45918566399977) and next prime (45918566400023).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7526396950 + ... + 7526403050.

Almost surely, 2^{45918566400000} is an apocalyptic number.

45918566400000 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 45918566400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89031968292456).

45918566400000 is an abundant number, since it is smaller than the sum of its proper divisors (132145370184912).

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

45918566400000 is an frugal number, since it uses more digits than its factorization.

45918566400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 45918566400000 in words is "forty-five trillion, nine hundred eighteen billion, five hundred sixty-six million, four hundred thousand".