45812317824 has 1024 divisors, whose sum is σ = 177812275200. Its totient is φ = 11287019520.

The previous prime is 45812317819. The next prime is 45812317853. The reversal of 45812317824 is 42871321854.

45812317824 is a `hidden beast` number, since 458 + 1 + 2 + 3 + 178 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45812317824.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 360726849 + ... + 360726975.

It is an arithmetic number, because the mean of its divisors is an integer number (173644800).

Almost surely, 2^45812317824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45812317824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88906137600).

45812317824 is an abundant number, since it is smaller than the sum of its proper divisors (131999957376).

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

45812317824 is a wasteful number, since it uses less digits than its factorization.

45812317824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 45812317824 in words is "forty-five billion, eight hundred twelve million, three hundred seventeen thousand, eight hundred twenty-four".