11837116279296 has 1920 divisors, whose sum is σ = 46174604636160. Its totient is φ = 2937411993600.

The previous prime is 11837116279201. The next prime is 11837116279337. The reversal of 11837116279296 is 69297261173811.

11837116279296 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 71 + 1 + 6 + 279 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38061466981 + ... + 38061467291.

It is an arithmetic number, because the mean of its divisors is an integer number (24049273248).

Almost surely, 2^{11837116279296} is an apocalyptic number.

11837116279296 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 11837116279296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23087302318080).

11837116279296 is an abundant number, since it is smaller than the sum of its proper divisors (34337488356864).

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

11837116279296 is a wasteful number, since it uses less digits than its factorization.

11837116279296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 500 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 11837116279296 in words is "eleven trillion, eight hundred thirty-seven billion, one hundred sixteen million, two hundred seventy-nine thousand, two hundred ninety-six".