12538650991104 has 400 divisors, whose sum is σ = 42848279641728. Its totient is φ = 3575993868288.

The previous prime is 12538650991091. The next prime is 12538650991147. The reversal of 12538650991104 is 40119905683521.

12538650991104 is a `hidden beast` number, since 1 + 2 + 5 + 38 + 6 + 509 + 91 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161660557 + ... + 161738099.

Almost surely, 2^{12538650991104} is an apocalyptic number.

12538650991104 is a gapful number since it is divisible by the number (14) 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 12538650991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21424139820864).

12538650991104 is an abundant number, since it is smaller than the sum of its proper divisors (30309628650624).

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

12538650991104 is an frugal number, since it uses more digits than its factorization.

12538650991104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78137 (or 78112 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 12538650991104 in words is "twelve trillion, five hundred thirty-eight billion, six hundred fifty million, nine hundred ninety-one thousand, one hundred four".