45706804684800 has 2304 divisors, whose sum is σ = 191984712192000. Its totient is φ = 9352154972160.

The previous prime is 45706804684763. The next prime is 45706804684817. The reversal of 45706804684800 is 848640860754.

It is a happy number.

It is a super-2 number, since 2×45706804684800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 41817753054 + ... + 41817754146.

It is an arithmetic number, because the mean of its divisors is an integer number (83326698000).

Almost surely, 2^{45706804684800} is an apocalyptic number.

45706804684800 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 45706804684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95992356096000).

45706804684800 is an abundant number, since it is smaller than the sum of its proper divisors (146277907507200).

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

45706804684800 is a wasteful number, since it uses less digits than its factorization.

45706804684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 45706804684800 in words is "forty-five trillion, seven hundred six billion, eight hundred four million, six hundred eighty-four thousand, eight hundred".