95244376372992 has 4032 divisors, whose sum is σ = 404581550284800. Its totient is φ = 21603355361280.

The previous prime is 95244376372919. The next prime is 95244376373017. The reversal of 95244376372992 is 29927367344259.

It is a happy number.

95244376372992 is a `hidden beast` number, since 9 + 5 + 2 + 443 + 76 + 3 + 7 + 29 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 95244376372992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 182111618043 + ... + 182111618565.

It is an arithmetic number, because the mean of its divisors is an integer number (100342646400).

Almost surely, 2^{95244376372992} is an apocalyptic number.

95244376372992 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95244376372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202290775142400).

95244376372992 is an abundant number, since it is smaller than the sum of its proper divisors (309337173911808).

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

95244376372992 is a wasteful number, since it uses less digits than its factorization.

95244376372992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 617 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

The spelling of 95244376372992 in words is "ninety-five trillion, two hundred forty-four billion, three hundred seventy-six million, three hundred seventy-two thousand, nine hundred ninety-two".