90959018800644 has 192 divisors, whose sum is σ = 240917244825600. Its totient is φ = 29670405722496.

The previous prime is 90959018800621. The next prime is 90959018800667. The reversal of 90959018800644 is 44600881095909.

It is an interprime number because it is at equal distance from previous prime (90959018800621) and next prime (90959018800667).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2779989717 + ... + 2780022435.

It is an arithmetic number, because the mean of its divisors is an integer number (1254777316800).

Almost surely, 2^{90959018800644} 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 90959018800644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120458622412800).

90959018800644 is an abundant number, since it is smaller than the sum of its proper divisors (149958226024956).

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

90959018800644 is a wasteful number, since it uses less digits than its factorization.

90959018800644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35319 (or 35311 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 90959018800644 in words is "ninety trillion, nine hundred fifty-nine billion, eighteen million, eight hundred thousand, six hundred forty-four".