95454640512 has 1920 divisors, whose sum is σ = 405212544000. Its totient is φ = 21946982400.

The previous prime is 95454640469. The next prime is 95454640559. The reversal of 95454640512 is 21504645459.

95454640512 is a `hidden beast` number, since 9 + 54 + 5 + 46 + 40 + 512 = 666.

It is a super-2 number, since 2×95454640512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3079181937 + ... + 3079181967.

It is an arithmetic number, because the mean of its divisors is an integer number (211048200).

Almost surely, 2^95454640512 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 95454640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202606272000).

95454640512 is an abundant number, since it is smaller than the sum of its proper divisors (309757903488).

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

95454640512 is a wasteful number, since it uses less digits than its factorization.

95454640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 95454640512 in words is "ninety-five billion, four hundred fifty-four million, six hundred forty thousand, five hundred twelve".