12375611406 has 192 divisors, whose sum is σ = 29448147456. Its totient is φ = 3891888000.

The previous prime is 12375611399. The next prime is 12375611419. The reversal of 12375611406 is 60411657321.

12375611406 is a `hidden beast` number, since 1 + 2 + 37 + 5 + 611 + 4 + 0 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 122530756 + ... + 122530856.

It is an arithmetic number, because the mean of its divisors is an integer number (153375768).

Almost surely, 2^12375611406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12375611406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724073728).

12375611406 is an abundant number, since it is smaller than the sum of its proper divisors (17072536050).

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

12375611406 is a wasteful number, since it uses less digits than its factorization.

12375611406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12375611406 in words is "twelve billion, three hundred seventy-five million, six hundred eleven thousand, four hundred six".