12254466735360 has 864 divisors, whose sum is σ = 46140896256000. Its totient is φ = 2991418490880.

The previous prime is 12254466735359. The next prime is 12254466735437. The reversal of 12254466735360 is 6353766445221.

12254466735360 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 4 + 46 + 67 + 3 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12254466735297 and 12254466735306.

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, 7212751791 + ... + 7212753489.

Almost surely, 2^{12254466735360} is an apocalyptic number.

12254466735360 is a gapful number since it is divisible by the number (10) 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 12254466735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23070448128000).

12254466735360 is an abundant number, since it is smaller than the sum of its proper divisors (33886429520640).

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

12254466735360 is a wasteful number, since it uses less digits than its factorization.

12254466735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 12254466735360 in words is "twelve trillion, two hundred fifty-four billion, four hundred sixty-six million, seven hundred thirty-five thousand, three hundred sixty".