90081003307008 has 912 divisors, whose sum is σ = 285845567359104. Its totient is φ = 25155757670400.

The previous prime is 90081003306923. The next prime is 90081003307081. The reversal of 90081003307008 is 80070330018009.

It is a super-2 number, since 2×90081003307008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 596562935733 + ... + 596562935883.

It is an arithmetic number, because the mean of its divisors is an integer number (313427157192).

Almost surely, 2^{90081003307008} is an apocalyptic number.

90081003307008 is a gapful number since it is divisible by the number (98) 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 90081003307008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142922783679552).

90081003307008 is an abundant number, since it is smaller than the sum of its proper divisors (195764564052096).

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

90081003307008 is a wasteful number, since it uses less digits than its factorization.

90081003307008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 90081003307008 in words is "ninety trillion, eighty-one billion, three million, three hundred seven thousand, eight".