45825239116800 has 3960 divisors, whose sum is σ = 209088627002640. Its totient is φ = 9765362073600.

The previous prime is 45825239116747. The next prime is 45825239116819. The reversal of 45825239116800 is 861193252854.

45825239116800 is a `hidden beast` number, since 4 + 58 + 2 + 523 + 9 + 1 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a super-2 number, since 2×45825239116800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 627743001564 + ... + 627743001636.

It is an arithmetic number, because the mean of its divisors is an integer number (52800158334).

Almost surely, 2^{45825239116800} is an apocalyptic number.

45825239116800 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 45825239116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544313501320).

45825239116800 is an abundant number, since it is smaller than the sum of its proper divisors (163263387885840).

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

45825239116800 is a wasteful number, since it uses less digits than its factorization.

45825239116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 45825239116800 in words is "forty-five trillion, eight hundred twenty-five billion, two hundred thirty-nine million, one hundred sixteen thousand, eight hundred".