11946274704 has 360 divisors, whose sum is σ = 43187414400. Its totient is φ = 3012691968.

The previous prime is 11946274661. The next prime is 11946274723. The reversal of 11946274704 is 40747264911.

11946274704 is a `hidden beast` number, since 1 + 19 + 4 + 627 + 4 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11946274704.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3916572 + ... + 3919620.

It is an arithmetic number, because the mean of its divisors is an integer number (119965040).

Almost surely, 2^11946274704 is an apocalyptic number.

11946274704 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 11946274704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21593707200).

11946274704 is an abundant number, since it is smaller than the sum of its proper divisors (31241139696).

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

11946274704 is a wasteful number, since it uses less digits than its factorization.

11946274704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11946274704 in words is "eleven billion, nine hundred forty-six million, two hundred seventy-four thousand, seven hundred four".