13974354374310 has 896 divisors, whose sum is σ = 45603135820800. Its totient is φ = 3041851760640.

The previous prime is 13974354374273. The next prime is 13974354374339. The reversal of 13974354374310 is 1347345347931.

13974354374310 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 43 + 543 + 7 + 43 + 10 = 666.

It is a super-2 number, since 2×13974354374310² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3959860626 + ... + 3959864154.

Almost surely, 2^{13974354374310} is an apocalyptic number.

13974354374310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13974354374310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22801567910400).

13974354374310 is an abundant number, since it is smaller than the sum of its proper divisors (31628781446490).

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

13974354374310 is a wasteful number, since it uses less digits than its factorization.

13974354374310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 13974354374310 in words is "thirteen trillion, nine hundred seventy-four billion, three hundred fifty-four million, three hundred seventy-four thousand, three hundred ten".