12254855969664 has 2048 divisors, whose sum is σ = 50180788224000. Its totient is φ = 2882221056000.

The previous prime is 12254855969663. The next prime is 12254855969711. The reversal of 12254855969664 is 46696955845221.

12254855969664 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 4 + 8 + 559 + 6 + 9 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12254855969592 and 12254855969601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12254855969663) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9419565814 + ... + 9419567114.

It is an arithmetic number, because the mean of its divisors is an integer number (24502338000).

Almost surely, 2^{12254855969664} is an apocalyptic number.

12254855969664 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 12254855969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090394112000).

12254855969664 is an abundant number, since it is smaller than the sum of its proper divisors (37925932254336).

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

12254855969664 is a wasteful number, since it uses less digits than its factorization.

12254855969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1366 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 72.

The spelling of 12254855969664 in words is "twelve trillion, two hundred fifty-four billion, eight hundred fifty-five million, nine hundred sixty-nine thousand, six hundred sixty-four".