90946140000 has 480 divisors, whose sum is σ = 316851575040. Its totient is φ = 22784256000.

The previous prime is 90946139983. The next prime is 90946140007. The reversal of 90946140000 is 4164909.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90946140007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81419442 + ... + 81420558.

It is an arithmetic number, because the mean of its divisors is an integer number (660107448).

Almost surely, 2^90946140000 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 90946140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158425787520).

90946140000 is an abundant number, since it is smaller than the sum of its proper divisors (225905435040).

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

90946140000 is a wasteful number, since it uses less digits than its factorization.

90946140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 90946140000 in words is "ninety billion, nine hundred forty-six million, one hundred forty thousand".