90851265117648 has 400 divisors, whose sum is σ = 318285305293824. Its totient is φ = 24423389982720.

The previous prime is 90851265117533. The next prime is 90851265117677. The reversal of 90851265117648 is 84671156215809.

90851265117648 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 1 + 2 + 6 + 511 + 76 + 48 = 666.

It is a Cunningham number, because it is equal to 9531593²-1.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 533684161 + ... + 533854367.

Almost surely, 2^{90851265117648} 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 90851265117648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159142652646912).

90851265117648 is an abundant number, since it is smaller than the sum of its proper divisors (227434040176176).

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

90851265117648 is a wasteful number, since it uses less digits than its factorization.

90851265117648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173712 (or 173697 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 90851265117648 in words is "ninety trillion, eight hundred fifty-one billion, two hundred sixty-five million, one hundred seventeen thousand, six hundred forty-eight".