13729156150848 has 112 divisors (see below), whose sum is σ = 36561048218880. Its totient is φ = 4546661842944.

The previous prime is 13729156150837. The next prime is 13729156150859. The reversal of 13729156150848 is 84805165192731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13729156150837) and next prime (13729156150859).

It is a super-2 number, since 2×13729156150848² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13729156150791 and 13729156150800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285530073 + ... + 285578151.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13729156150848 = 27458312301696, but 3⋅13729156150848 = 41187468452544 is not.

Almost surely, 2^{13729156150848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13729156150848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280524109440).

13729156150848 is an abundant number, since it is smaller than the sum of its proper divisors (22831892068032).

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

13729156150848 is a wasteful number, since it uses less digits than its factorization.

13729156150848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57724 (or 57714 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 13729156150848 in words is "thirteen trillion, seven hundred twenty-nine billion, one hundred fifty-six million, one hundred fifty thousand, eight hundred forty-eight".