95402661838848 has 1224 divisors, whose sum is σ = 356445206347776. Its totient is φ = 24346519142400.

The previous prime is 95402661838823. The next prime is 95402661838867. The reversal of 95402661838848 is 84883816620459.

95402661838848 is a `hidden beast` number, since 9 + 5 + 402 + 6 + 61 + 83 + 8 + 84 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11647250433 + ... + 11647258623.

Almost surely, 2^{95402661838848} is an apocalyptic number.

95402661838848 is a gapful number since it is divisible by the number (98) 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 95402661838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178222603173888).

95402661838848 is an abundant number, since it is smaller than the sum of its proper divisors (261042544508928).

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

95402661838848 is a wasteful number, since it uses less digits than its factorization.

95402661838848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 95402661838848 in words is "ninety-five trillion, four hundred two billion, six hundred sixty-one million, eight hundred thirty-eight thousand, eight hundred forty-eight".