12661293834 has 192 divisors, whose sum is σ = 33771528960. Its totient is φ = 3348034560.

The previous prime is 12661293793. The next prime is 12661293839. The reversal of 12661293834 is 43839216621.

12661293834 is a `hidden beast` number, since 1 + 26 + 612 + 9 + 3 + 8 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12661293834.

It is not an unprimeable number, because it can be changed into a prime (12661293839) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40451262 + ... + 40451574.

It is an arithmetic number, because the mean of its divisors is an integer number (175893380).

Almost surely, 2^12661293834 is an apocalyptic number.

12661293834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12661293834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885764480).

12661293834 is an abundant number, since it is smaller than the sum of its proper divisors (21110235126).

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

12661293834 is a wasteful number, since it uses less digits than its factorization.

12661293834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12661293834 in words is "twelve billion, six hundred sixty-one million, two hundred ninety-three thousand, eight hundred thirty-four".