90094793712 has 640 divisors, whose sum is σ = 322059386880. Its totient is φ = 21159705600.

The previous prime is 90094793683. The next prime is 90094793729. The reversal of 90094793712 is 21739749009.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 195433162 + ... + 195433622.

It is an arithmetic number, because the mean of its divisors is an integer number (503217792).

Almost surely, 2^90094793712 is an apocalyptic number.

90094793712 is a gapful number since it is divisible by the number (92) 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 90094793712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161029693440).

90094793712 is an abundant number, since it is smaller than the sum of its proper divisors (231964593168).

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

90094793712 is a wasteful number, since it uses less digits than its factorization.

90094793712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The spelling of 90094793712 in words is "ninety billion, ninety-four million, seven hundred ninety-three thousand, seven hundred twelve".