12637408935216 has 480 divisors, whose sum is σ = 38640591129600. Its totient is φ = 3543288053760.

The previous prime is 12637408935181. The next prime is 12637408935301. The reversal of 12637408935216 is 61253980473621.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211286736 + ... + 1211297168.

It is an arithmetic number, because the mean of its divisors is an integer number (80501231520).

It is a 1-persistent number, because it is pandigital, but 2⋅12637408935216 = 25274817870432 is not.

Almost surely, 2^{12637408935216} is an apocalyptic number.

12637408935216 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 12637408935216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320295564800).

12637408935216 is an abundant number, since it is smaller than the sum of its proper divisors (26003182194384).

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

12637408935216 is a wasteful number, since it uses less digits than its factorization.

12637408935216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10789 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 12637408935216 in words is "twelve trillion, six hundred thirty-seven billion, four hundred eight million, nine hundred thirty-five thousand, two hundred sixteen".