45383817984 has 288 divisors, whose sum is σ = 130904169984. Its totient is φ = 13907066880.

The previous prime is 45383817979. The next prime is 45383817991. The reversal of 45383817984 is 48971838354.

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, 160366707 + ... + 160366989.

It is an arithmetic number, because the mean of its divisors is an integer number (454528368).

Almost surely, 2^45383817984 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 45383817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65452084992).

45383817984 is an abundant number, since it is smaller than the sum of its proper divisors (85520352000).

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

45383817984 is a wasteful number, since it uses less digits than its factorization.

45383817984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 549 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 45383817984 in words is "forty-five billion, three hundred eighty-three million, eight hundred seventeen thousand, nine hundred eighty-four".