95408661312 has 168 divisors, whose sum is σ = 282540041472. Its totient is φ = 30750105600.

The previous prime is 95408661301. The next prime is 95408661319. The reversal of 95408661312 is 21316680459.

95408661312 is a `hidden beast` number, since 9 + 540 + 86 + 6 + 13 + 12 = 666.

It is a super-2 number, since 2×95408661312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95408661319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35907088 + ... + 35909744.

Almost surely, 2^95408661312 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 95408661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141270020736).

95408661312 is an abundant number, since it is smaller than the sum of its proper divisors (187131380160).

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

95408661312 is a wasteful number, since it uses less digits than its factorization.

95408661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 95408661312 in words is "ninety-five billion, four hundred eight million, six hundred sixty-one thousand, three hundred twelve".