13668745031970 has 256 divisors, whose sum is σ = 40900140352512. Its totient is φ = 2852195696640.

The previous prime is 13668745031969. The next prime is 13668745031971. The reversal of 13668745031970 is 7913054786631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13668745031969) and next prime (13668745031971).

It is a super-4 number, since 4×13668745031970⁴ (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13668745031971) 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 127 ways as a sum of consecutive naturals, for example, 25052112 + ... + 25591908.

It is an arithmetic number, because the mean of its divisors is an integer number (159766173252).

Almost surely, 2^{13668745031970} is an apocalyptic number.

13668745031970 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 13668745031970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450070176256).

13668745031970 is an abundant number, since it is smaller than the sum of its proper divisors (27231395320542).

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

13668745031970 is a wasteful number, since it uses less digits than its factorization.

13668745031970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540045.

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 13668745031970 in words is "thirteen trillion, six hundred sixty-eight billion, seven hundred forty-five million, thirty-one thousand, nine hundred seventy".