12949837157376 has 2112 divisors, whose sum is σ = 48792158371840. Its totient is φ = 3224862720000.

The previous prime is 12949837157291. The next prime is 12949837157449. The reversal of 12949837157376 is 67375173894921.

12949837157376 is a `hidden beast` number, since 1 + 2 + 9 + 49 + 8 + 3 + 7 + 1 + 573 + 7 + 6 = 666.

It is a super-2 number, since 2×12949837157376² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 85760510901 + ... + 85760511051.

Almost surely, 2^{12949837157376} is an apocalyptic number.

12949837157376 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 12949837157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24396079185920).

12949837157376 is an abundant number, since it is smaller than the sum of its proper divisors (35842321214464).

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

12949837157376 is a wasteful number, since it uses less digits than its factorization.

12949837157376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 12949837157376 in words is "twelve trillion, nine hundred forty-nine billion, eight hundred thirty-seven million, one hundred fifty-seven thousand, three hundred seventy-six".