11812984725696 has 896 divisors, whose sum is σ = 41453517864960. Its totient is φ = 2878267392000.

The previous prime is 11812984725649. The next prime is 11812984725739. The reversal of 11812984725696 is 69652748921811.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 11812984725696.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4217415496 + ... + 4217418296.

Almost surely, 2^{11812984725696} is an apocalyptic number.

11812984725696 is a gapful number since it is divisible by the number (16) 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 11812984725696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726758932480).

11812984725696 is an abundant number, since it is smaller than the sum of its proper divisors (29640533139264).

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

11812984725696 is a wasteful number, since it uses less digits than its factorization.

11812984725696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3083 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 69.

The spelling of 11812984725696 in words is "eleven trillion, eight hundred twelve billion, nine hundred eighty-four million, seven hundred twenty-five thousand, six hundred ninety-six".