90444357000 has 384 divisors, whose sum is σ = 318101696640. Its totient is φ = 24036652800.

The previous prime is 90444356971. The next prime is 90444357011. The reversal of 90444357000 is 75344409.

90444357000 is a `hidden beast` number, since 9 + 0 + 44 + 43 + 570 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113480602 + ... + 113481398.

It is an arithmetic number, because the mean of its divisors is an integer number (828389835).

Almost surely, 2^90444357000 is an apocalyptic number.

90444357000 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 90444357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159050848320).

90444357000 is an abundant number, since it is smaller than the sum of its proper divisors (227657339640).

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

90444357000 is a wasteful number, since it uses less digits than its factorization.

90444357000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 90444357000 in words is "ninety billion, four hundred forty-four million, three hundred fifty-seven thousand".