96900309216 has 144 divisors (see below), whose sum is σ = 282586449600. Its totient is φ = 31478231040.

The previous prime is 96900309211. The next prime is 96900309221. The reversal of 96900309216 is 61290300969.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96900309211) and next prime (96900309221).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96900309211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12382681 + ... + 12390503.

It is an arithmetic number, because the mean of its divisors is an integer number (1962405900).

Almost surely, 2^96900309216 is an apocalyptic number.

96900309216 is a gapful number since it is divisible by the number (96) 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 96900309216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141293224800).

96900309216 is an abundant number, since it is smaller than the sum of its proper divisors (185686140384).

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

96900309216 is a wasteful number, since it uses less digits than its factorization.

96900309216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 96900309216 in words is "ninety-six billion, nine hundred million, three hundred nine thousand, two hundred sixteen".