901113984 has 288 divisors, whose sum is σ = 2860778700. Its totient is φ = 282175488.

The previous prime is 901113919. The next prime is 901113991. The reversal of 901113984 is 489311109.

It can be written as a sum of positive squares in 2 ways, for example, as 850305600 + 50808384 = 29160^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24354414 + ... + 24354450.

Almost surely, 2^901113984 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 901113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430389350).

901113984 is an abundant number, since it is smaller than the sum of its proper divisors (1959664716).

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

901113984 is an frugal number, since it uses more digits than its factorization.

901113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 901113984 is about 30018.5606583660. The cubic root of 901113984 is about 965.8875684124.

The spelling of 901113984 in words is "nine hundred one million, one hundred thirteen thousand, nine hundred eighty-four".