45308794303008 has 192 divisors, whose sum is σ = 135275556003840. Its totient is φ = 14747290732800.

The previous prime is 45308794302997. The next prime is 45308794303051. The reversal of 45308794303008 is 80030349780354.

45308794303008 is a `hidden beast` number, since 4 + 530 + 8 + 79 + 4 + 3 + 0 + 30 + 0 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 16207663 + ... + 18796433.

It is an arithmetic number, because the mean of its divisors is an integer number (704560187520).

Almost surely, 2^{45308794303008} is an apocalyptic number.

45308794303008 is a gapful number since it is divisible by the number (48) 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 45308794303008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67637778001920).

45308794303008 is an abundant number, since it is smaller than the sum of its proper divisors (89966761700832).

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

45308794303008 is a wasteful number, since it uses less digits than its factorization.

45308794303008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589268 (or 2589254 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 45308794303008 in words is "forty-five trillion, three hundred eight billion, seven hundred ninety-four million, three hundred three thousand, eight".