45995942016 has 384 divisors, whose sum is σ = 149325845760. Its totient is φ = 14034124800.

The previous prime is 45995941997. The next prime is 45995942017. The reversal of 45995942016 is 61024959954.

45995942016 is a `hidden beast` number, since 4 + 599 + 5 + 9 + 42 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45995942017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19563241 + ... + 19565591.

It is an arithmetic number, because the mean of its divisors is an integer number (388869390).

Almost surely, 2^45995942016 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 45995942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74662922880).

45995942016 is an abundant number, since it is smaller than the sum of its proper divisors (103329903744).

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

45995942016 is a wasteful number, since it uses less digits than its factorization.

45995942016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 45995942016 in words is "forty-five billion, nine hundred ninety-five million, nine hundred forty-two thousand, sixteen".