45395634816 has 224 divisors, whose sum is σ = 154965540000. Its totient is φ = 12969994752.

The previous prime is 45395634763. The next prime is 45395634821. The reversal of 45395634816 is 61843659354.

45395634816 is a `hidden beast` number, since 4 + 5 + 39 + 563 + 48 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 27 ways as a sum of consecutive naturals, for example, 618435 + ... + 687933.

Almost surely, 2^45395634816 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 45395634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77482770000).

45395634816 is an abundant number, since it is smaller than the sum of its proper divisors (109569905184).

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

45395634816 is an frugal number, since it uses more digits than its factorization.

45395634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69538 (or 69511 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 45395634816 in words is "forty-five billion, three hundred ninety-five million, six hundred thirty-four thousand, eight hundred sixteen".