90331941744000 has 4096 divisors, whose sum is σ = 408116678860800. Its totient is φ = 19366871040000.

The previous prime is 90331941743999. The next prime is 90331941744007. The reversal of 90331941744000 is 44714913309.

90331941744000 is a `hidden beast` number, since 9 + 0 + 3 + 3 + 194 + 17 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90331941744007) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 113339951602 + ... + 113339952398.

It is an arithmetic number, because the mean of its divisors is an integer number (99637861050).

Almost surely, 2^{90331941744000} is an apocalyptic number.

90331941744000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90331941744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204058339430400).

90331941744000 is an abundant number, since it is smaller than the sum of its proper divisors (317784737116800).

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

90331941744000 is a wasteful number, since it uses less digits than its factorization.

90331941744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90331941744000 in words is "ninety trillion, three hundred thirty-one billion, nine hundred forty-one million, seven hundred forty-four thousand".