45888460800 has 1152 divisors, whose sum is σ = 193362624000. Its totient is φ = 9537454080.

The previous prime is 45888460781. The next prime is 45888460819. The reversal of 45888460800 is 806488854.

It is an interprime number because it is at equal distance from previous prime (45888460781) and next prime (45888460819).

It is a congruent number.

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, 684902367 + ... + 684902433.

It is an arithmetic number, because the mean of its divisors is an integer number (167849500).

Almost surely, 2^45888460800 is an apocalyptic number.

45888460800 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 45888460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96681312000).

45888460800 is an abundant number, since it is smaller than the sum of its proper divisors (147474163200).

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

45888460800 is a wasteful number, since it uses less digits than its factorization.

45888460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 45888460800 in words is "forty-five billion, eight hundred eighty-eight million, four hundred sixty thousand, eight hundred".