90963621740544 has 512 divisors, whose sum is σ = 293913884544000. Its totient is φ = 24444109062144.

The previous prime is 90963621740543. The next prime is 90963621740587. The reversal of 90963621740544 is 44504712636909.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (90963621740543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1817321022 + ... + 1817371074.

It is an arithmetic number, because the mean of its divisors is an integer number (574050555750).

Almost surely, 2^{90963621740544} 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 90963621740544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146956942272000).

90963621740544 is an abundant number, since it is smaller than the sum of its proper divisors (202950262803456).

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

90963621740544 is a wasteful number, since it uses less digits than its factorization.

90963621740544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50251 (or 50223 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 90963621740544 in words is "ninety trillion, nine hundred sixty-three billion, six hundred twenty-one million, seven hundred forty thousand, five hundred forty-four".