90851375374848 has 480 divisors, whose sum is σ = 303532607169792. Its totient is φ = 26890453094400.

The previous prime is 90851375374831. The next prime is 90851375374849. The reversal of 90851375374848 is 84847357315809.

90851375374848 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 1 + 3 + 7 + 537 + 4 + 84 + 8 = 666.

It is a super-2 number, since 2×90851375374848² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90851375374849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58076863 + ... + 59620673.

Almost surely, 2^{90851375374848} 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 90851375374848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151766303584896).

90851375374848 is an abundant number, since it is smaller than the sum of its proper divisors (212681231794944).

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

90851375374848 is a wasteful number, since it uses less digits than its factorization.

90851375374848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543898 (or 1543870 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 90851375374848 in words is "ninety trillion, eight hundred fifty-one billion, three hundred seventy-five million, three hundred seventy-four thousand, eight hundred forty-eight".