95049569664 has 512 divisors, whose sum is σ = 329696640000. Its totient is φ = 26946017280.

The previous prime is 95049569647. The next prime is 95049569717. The reversal of 95049569664 is 46696594059.

95049569664 is a `hidden beast` number, since 9 + 5 + 0 + 4 + 9 + 569 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214558627 + ... + 214559069.

It is an arithmetic number, because the mean of its divisors is an integer number (643938750).

Almost surely, 2^95049569664 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 95049569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164848320000).

95049569664 is an abundant number, since it is smaller than the sum of its proper divisors (234647070336).

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

95049569664 is a wasteful number, since it uses less digits than its factorization.

95049569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 95049569664 in words is "ninety-five billion, forty-nine million, five hundred sixty-nine thousand, six hundred sixty-four".