90845952000 has 768 divisors, whose sum is σ = 326258150400. Its totient is φ = 22383820800.

The previous prime is 90845951941. The next prime is 90845952101. The reversal of 90845952000 is 25954809.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-4 number, since 4×90845952000⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653567931 + ... + 653568069.

It is an arithmetic number, because the mean of its divisors is an integer number (424815300).

Almost surely, 2^90845952000 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 90845952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163129075200).

90845952000 is an abundant number, since it is smaller than the sum of its proper divisors (235412198400).

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

90845952000 is a wasteful number, since it uses less digits than its factorization.

90845952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 90845952000 in words is "ninety billion, eight hundred forty-five million, nine hundred fifty-two thousand".