14729566137972 has 96 divisors (see below), whose sum is σ = 39878639281152. Its totient is φ = 4144226270976.

The previous prime is 14729566137971. The next prime is 14729566137977. The reversal of 14729566137972 is 27973166592741.

It is a super-2 number, since 2×14729566137972² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14729566137897 and 14729566137906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14729566137971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16176343 + ... + 17062625.

It is an arithmetic number, because the mean of its divisors is an integer number (415402492512).

Almost surely, 2^{14729566137972} is an apocalyptic number.

14729566137972 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 14729566137972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19939319640576).

14729566137972 is an abundant number, since it is smaller than the sum of its proper divisors (25149073143180).

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

14729566137972 is a wasteful number, since it uses less digits than its factorization.

14729566137972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889317 (or 889315 counting only the distinct ones).

The product of its digits is 240045120, while the sum is 69.

The spelling of 14729566137972 in words is "fourteen trillion, seven hundred twenty-nine billion, five hundred sixty-six million, one hundred thirty-seven thousand, nine hundred seventy-two".