12646105055100 has 576 divisors, whose sum is σ = 44703632117760. Its totient is φ = 3041388000000.

The previous prime is 12646105055099. The next prime is 12646105055231. The reversal of 12646105055100 is 155050164621.

12646105055100 is a `hidden beast` number, since 1 + 2 + 6 + 46 + 1 + 0 + 505 + 5 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4713418359 + ... + 4713421041.

Almost surely, 2^{12646105055100} is an apocalyptic number.

12646105055100 is a gapful number since it is divisible by the number (10) 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 12646105055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351816058880).

12646105055100 is an abundant number, since it is smaller than the sum of its proper divisors (32057527062660).

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

12646105055100 is a wasteful number, since it uses less digits than its factorization.

12646105055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12646105055100 in words is "twelve trillion, six hundred forty-six billion, one hundred five million, fifty-five thousand, one hundred".