12614076540000 has 1680 divisors, whose sum is σ = 50974633133424. Its totient is φ = 3051302400000.

The previous prime is 12614076539969. The next prime is 12614076540011. The reversal of 12614076540000 is 4567041621.

12614076540000 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 40 + 76 + 540 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12614076540000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 11561939455 + ... + 11561940545.

Almost surely, 2^{12614076540000} is an apocalyptic number.

12614076540000 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 12614076540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25487316566712).

12614076540000 is an abundant number, since it is smaller than the sum of its proper divisors (38360556593424).

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

12614076540000 is an equidigital number, since it uses as much as digits as its factorization.

12614076540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12614076540000 in words is "twelve trillion, six hundred fourteen billion, seventy-six million, five hundred forty thousand".