95384283264 has 320 divisors, whose sum is σ = 310940645400. Its totient is φ = 28891054080.

The previous prime is 95384283259. The next prime is 95384283271. The reversal of 95384283264 is 46238248359.

95384283264 is a `hidden beast` number, since 9 + 538 + 4 + 2 + 83 + 26 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75449102400 + 19935180864 = 274680^2 + 141192^2 .

It is a super-2 number, since 2×95384283264² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 95384283264.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5102094 + ... + 5120754.

Almost surely, 2^95384283264 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 95384283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155470322700).

95384283264 is an abundant number, since it is smaller than the sum of its proper divisors (215556362136).

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

95384283264 is a wasteful number, since it uses less digits than its factorization.

95384283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18733 (or 18712 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 95384283264 in words is "ninety-five billion, three hundred eighty-four million, two hundred eighty-three thousand, two hundred sixty-four".