90084444692480 has 224 divisors, whose sum is σ = 247190766984000. Its totient is φ = 30871458938880.

The previous prime is 90084444692449. The next prime is 90084444692483. The reversal of 90084444692480 is 8429644448009.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90084444692483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613794146 + ... + 613940894.

It is an arithmetic number, because the mean of its divisors is an integer number (1103530209750).

Almost surely, 2^{90084444692480} 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 90084444692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123595383492000).

90084444692480 is an abundant number, since it is smaller than the sum of its proper divisors (157106322291520).

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

90084444692480 is a wasteful number, since it uses less digits than its factorization.

90084444692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148928 (or 148904 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 62.

The spelling of 90084444692480 in words is "ninety trillion, eighty-four billion, four hundred forty-four million, six hundred ninety-two thousand, four hundred eighty".