45605414016 has 128 divisors (see below), whose sum is σ = 134699894400. Its totient is φ = 15190447104.

The previous prime is 45605413999. The next prime is 45605414039. The reversal of 45605414016 is 61041450654.

45605414016 is a `hidden beast` number, since 4 + 5 + 60 + 541 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5515101 + ... + 5523363.

It is an arithmetic number, because the mean of its divisors is an integer number (1052342925).

Almost surely, 2^45605414016 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 45605414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67349947200).

45605414016 is an abundant number, since it is smaller than the sum of its proper divisors (89094480384).

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

45605414016 is a wasteful number, since it uses less digits than its factorization.

45605414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45605414016 in words is "forty-five billion, six hundred five million, four hundred fourteen thousand, sixteen".