90048037114480 has 80 divisors (see below), whose sum is σ = 212387598984384. Its totient is φ = 35498996449280.

The previous prime is 90048037114433. The next prime is 90048037114499. The reversal of 90048037114480 is 8441173084009.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 12757722 + ... + 18516358.

Almost surely, 2^{90048037114480} 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 90048037114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106193799492192).

90048037114480 is an abundant number, since it is smaller than the sum of its proper divisors (122339561869904).

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

90048037114480 is a wasteful number, since it uses less digits than its factorization.

90048037114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761474 (or 5761468 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 90048037114480 in words is "ninety trillion, forty-eight billion, thirty-seven million, one hundred fourteen thousand, four hundred eighty".