900961711104 has 1408 divisors, whose sum is σ = 3298100198400. Its totient is φ = 216413503488.

The previous prime is 900961711103. The next prime is 900961711127. The reversal of 900961711104 is 401117169009.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900961711103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12341941212 + ... + 12341941284.

Almost surely, 2^900961711104 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 900961711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649050099200).

900961711104 is an abundant number, since it is smaller than the sum of its proper divisors (2397138487296).

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

900961711104 is a wasteful number, since it uses less digits than its factorization.

900961711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 39.

The spelling of 900961711104 in words is "nine hundred billion, nine hundred sixty-one million, seven hundred eleven thousand, one hundred four".