45095000064 has 96 divisors (see below), whose sum is σ = 126551880000. Its totient is φ = 14240489472.

The previous prime is 45095000063. The next prime is 45095000123. The reversal of 45095000064 is 46000059054.

45095000064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 45094999989 and 45095000034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45095000063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76414 + ... + 309885.

It is an arithmetic number, because the mean of its divisors is an integer number (1318248750).

Almost surely, 2^45095000064 is an apocalyptic number.

It is an amenable number.

45095000064 is an abundant number, since it is smaller than the sum of its proper divisors (81456879936).

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

45095000064 is a wasteful number, since it uses less digits than its factorization.

45095000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386343 (or 386323 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 45095000064 in words is "forty-five billion, ninety-five million, sixty-four", and thus it is an aban number.