11630937312 has 96 divisors (see below), whose sum is σ = 34167974400. Its totient is φ = 3849047424.

The previous prime is 11630937301. The next prime is 11630937319. The reversal of 11630937312 is 21373903611.

11630937312 is a `hidden beast` number, since 1 + 1 + 6 + 309 + 37 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630937319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71673 + ... + 168519.

It is an arithmetic number, because the mean of its divisors is an integer number (355916400).

Almost surely, 2^11630937312 is an apocalyptic number.

11630937312 is a gapful number since it is divisible by the number (12) 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 11630937312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083987200).

11630937312 is an abundant number, since it is smaller than the sum of its proper divisors (22537037088).

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

11630937312 is a wasteful number, since it uses less digits than its factorization.

11630937312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97005 (or 96991 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 11630937312 in words is "eleven billion, six hundred thirty million, nine hundred thirty-seven thousand, three hundred twelve".