90891477540864 has 1792 divisors, whose sum is σ = 370013677608960. Its totient is φ = 21283138437120.

The previous prime is 90891477540859. The next prime is 90891477540881. The reversal of 90891477540864 is 46804577419809.

90891477540864 is a `hidden beast` number, since 9 + 0 + 8 + 9 + 1 + 4 + 77 + 540 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×90891477540864² (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 a junction number, because it is equal to n+sod(n) for n = 90891477540792 and 90891477540801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9520418139 + ... + 9520427685.

It is an arithmetic number, because the mean of its divisors is an integer number (206480846880).

Almost surely, 2^{90891477540864} 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 90891477540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185006838804480).

90891477540864 is an abundant number, since it is smaller than the sum of its proper divisors (279122200068096).

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

90891477540864 is a wasteful number, since it uses less digits than its factorization.

90891477540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9626 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 90891477540864 in words is "ninety trillion, eight hundred ninety-one billion, four hundred seventy-seven million, five hundred forty thousand, eight hundred sixty-four".