45307117824 has 144 divisors (see below), whose sum is σ = 125994645504. Its totient is φ = 14426368000.

The previous prime is 45307117811. The next prime is 45307117853. The reversal of 45307117824 is 42871170354.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19270249 + ... + 19272599.

It is an arithmetic number, because the mean of its divisors is an integer number (874962816).

Almost surely, 2^45307117824 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 45307117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62997322752).

45307117824 is an abundant number, since it is smaller than the sum of its proper divisors (80687527680).

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

45307117824 is a wasteful number, since it uses less digits than its factorization.

45307117824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 45307117824 in words is "forty-five billion, three hundred seven million, one hundred seventeen thousand, eight hundred twenty-four".