12093875537814 has 288 divisors, whose sum is σ = 32015867659776. Its totient is φ = 3286465902720.

The previous prime is 12093875537773. The next prime is 12093875537827. The reversal of 12093875537814 is 41873557839021.

It is a happy number.

12093875537814 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 3 + 8 + 7 + 553 + 78 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286407507 + ... + 286449729.

It is an arithmetic number, because the mean of its divisors is an integer number (111166207152).

Almost surely, 2^{12093875537814} is an apocalyptic number.

12093875537814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12093875537814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007933829888).

12093875537814 is an abundant number, since it is smaller than the sum of its proper divisors (19921992121962).

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

12093875537814 is a wasteful number, since it uses less digits than its factorization.

12093875537814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42480 (or 42470 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 12093875537814 in words is "twelve trillion, ninety-three billion, eight hundred seventy-five million, five hundred thirty-seven thousand, eight hundred fourteen".