14026686676992 has 720 divisors, whose sum is σ = 45795821879808. Its totient is φ = 4099949199360.

The previous prime is 14026686676979. The next prime is 14026686676993. The reversal of 14026686676992 is 29967668662041.

14026686676992 is a `hidden beast` number, since 1 + 402 + 6 + 6 + 8 + 66 + 76 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 14026686676992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14026686676993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5788973893 + ... + 5788976315.

Almost surely, 2^{14026686676992} is an apocalyptic number.

14026686676992 is a gapful number since it is divisible by the number (12) 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 14026686676992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22897910939904).

14026686676992 is an abundant number, since it is smaller than the sum of its proper divisors (31769135202816).

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

14026686676992 is a wasteful number, since it uses less digits than its factorization.

14026686676992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 14026686676992 in words is "fourteen trillion, twenty-six billion, six hundred eighty-six million, six hundred seventy-six thousand, nine hundred ninety-two".