90338976000 has 1440 divisors, whose sum is σ = 414839513088. Its totient is φ = 19010764800.

The previous prime is 90338975999. The next prime is 90338976023. The reversal of 90338976000 is 67983309.

It is a happy number.

90338976000 is a `hidden beast` number, since 9 + 0 + 3 + 38 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×90338976000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 235871809 + ... + 235872191.

Almost surely, 2^90338976000 is an apocalyptic number.

90338976000 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 90338976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207419756544).

90338976000 is an abundant number, since it is smaller than the sum of its proper divisors (324500537088).

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

90338976000 is a wasteful number, since it uses less digits than its factorization.

90338976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 90338976000 in words is "ninety billion, three hundred thirty-eight million, nine hundred seventy-six thousand".