45746380800 has 336 divisors, whose sum is σ = 168085648080. Its totient is φ = 12197560320.

The previous prime is 45746380787. The next prime is 45746380811. The reversal of 45746380800 is 808364754.

45746380800 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 638 + 0 + 8 + 0 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5525464 + ... + 5533736.

It is an arithmetic number, because the mean of its divisors is an integer number (500254905).

Almost surely, 2^45746380800 is an apocalyptic number.

45746380800 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 45746380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84042824040).

45746380800 is an abundant number, since it is smaller than the sum of its proper divisors (122339267280).

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

45746380800 is an equidigital number, since it uses as much as digits as its factorization.

45746380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 45746380800 in words is "forty-five billion, seven hundred forty-six million, three hundred eighty thousand, eight hundred".