14168081379060 has 1152 divisors, whose sum is σ = 55465760931840. Its totient is φ = 2986057654272.

The previous prime is 14168081378981. The next prime is 14168081379073. The reversal of 14168081379060 is 6097318086141.

14168081379060 is a `hidden beast` number, since 1 + 416 + 8 + 0 + 8 + 137 + 90 + 6 + 0 = 666.

It is a super-2 number, since 2×14168081379060² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14168081378988 and 14168081379006.

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, 1916414724 + ... + 1916422116.

It is an arithmetic number, because the mean of its divisors is an integer number (48147361920).

Almost surely, 2^{14168081379060} is an apocalyptic number.

14168081379060 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 14168081379060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732880465920).

14168081379060 is an abundant number, since it is smaller than the sum of its proper divisors (41297679552780).

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

14168081379060 is a wasteful number, since it uses less digits than its factorization.

14168081379060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 14168081379060 in words is "fourteen trillion, one hundred sixty-eight billion, eighty-one million, three hundred seventy-nine thousand, sixty".