45919776096 has 144 divisors (see below), whose sum is σ = 135536192064. Its totient is φ = 15293556864.

The previous prime is 45919776079. The next prime is 45919776101. The reversal of 45919776096 is 69067791954.

45919776096 is a `hidden beast` number, since 4 + 5 + 9 + 19 + 7 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14516211 + ... + 14519373.

It is an arithmetic number, because the mean of its divisors is an integer number (941223556).

Almost surely, 2^45919776096 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 45919776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67768096032).

45919776096 is an abundant number, since it is smaller than the sum of its proper divisors (89616415968).

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

45919776096 is a wasteful number, since it uses less digits than its factorization.

45919776096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 45919776096 in words is "forty-five billion, nine hundred nineteen million, seven hundred seventy-six thousand, ninety-six".