11911630907136 has 144 divisors (see below), whose sum is σ = 33606534364704. Its totient is φ = 3732597768192.

The previous prime is 11911630907087. The next prime is 11911630907147. The reversal of 11911630907136 is 63170903611911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10601980 + ... + 11671556.

It is an arithmetic number, because the mean of its divisors is an integer number (233378710866).

Almost surely, 2^{11911630907136} is an apocalyptic number.

11911630907136 is a gapful number since it is divisible by the number (16) 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 11911630907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803267182352).

11911630907136 is an abundant number, since it is smaller than the sum of its proper divisors (21694903457568).

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

11911630907136 is a wasteful number, since it uses less digits than its factorization.

11911630907136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070466 (or 1070452 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The spelling of 11911630907136 in words is "eleven trillion, nine hundred eleven billion, six hundred thirty million, nine hundred seven thousand, one hundred thirty-six".