14010693050172 has 720 divisors, whose sum is σ = 44268507666432. Its totient is φ = 3426903889920.

The previous prime is 14010693050149. The next prime is 14010693050173. The reversal of 14010693050172 is 27105039601041.

It is a super-2 number, since 2×14010693050172² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14010693050172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14010693050173) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7685513653 + ... + 7685515475.

Almost surely, 2^{14010693050172} is an apocalyptic number.

14010693050172 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 14010693050172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22134253833216).

14010693050172 is an abundant number, since it is smaller than the sum of its proper divisors (30257814616260).

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

14010693050172 is a wasteful number, since it uses less digits than its factorization.

14010693050172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 14010693050172 in words is "fourteen trillion, ten billion, six hundred ninety-three million, fifty thousand, one hundred seventy-two".