12381346177760 has 576 divisors, whose sum is σ = 35193138494976. Its totient is φ = 4102621286400.

The previous prime is 12381346177757. The next prime is 12381346177777. The reversal of 12381346177760 is 6777164318321.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 12381346177696 and 12381346177705.

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, 6703489157 + ... + 6703491003.

It is an arithmetic number, because the mean of its divisors is an integer number (61099198776).

Almost surely, 2^{12381346177760} is an apocalyptic number.

12381346177760 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 12381346177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17596569247488).

12381346177760 is an abundant number, since it is smaller than the sum of its proper divisors (22811792317216).

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

12381346177760 is a wasteful number, since it uses less digits than its factorization.

12381346177760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 56.

The spelling of 12381346177760 in words is "twelve trillion, three hundred eighty-one billion, three hundred forty-six million, one hundred seventy-seven thousand, seven hundred sixty".