12574265163768 has 1536 divisors, whose sum is σ = 47576954880000. Its totient is φ = 3038341363200.

The previous prime is 12574265163751. The next prime is 12574265163791. The reversal of 12574265163768 is 86736156247521.

12574265163768 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 4 + 26 + 516 + 37 + 68 = 666.

It is a super-2 number, since 2×12574265163768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20992095133 + ... + 20992095731.

It is an arithmetic number, because the mean of its divisors is an integer number (30974580000).

Almost surely, 2^{12574265163768} is an apocalyptic number.

12574265163768 is a gapful number since it is divisible by the number (18) 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 12574265163768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23788477440000).

12574265163768 is an abundant number, since it is smaller than the sum of its proper divisors (35002689716232).

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

12574265163768 is a wasteful number, since it uses less digits than its factorization.

12574265163768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 702 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 12574265163768 in words is "twelve trillion, five hundred seventy-four billion, two hundred sixty-five million, one hundred sixty-three thousand, seven hundred sixty-eight".