156729991113696 has 768 divisors, whose sum is σ = 566087241646080. Its totient is φ = 36648534343680.

The previous prime is 156729991113691. The next prime is 156729991113719. The reversal of 156729991113696 is 696311199927651.

It is a super-2 number, since 2×156729991113696² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156729991113691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2780893965 + ... + 2780950323.

It is an arithmetic number, because the mean of its divisors is an integer number (737092762560).

Almost surely, 2^{156729991113696} is an apocalyptic number.

156729991113696 is a gapful number since it is divisible by the number (16) 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 156729991113696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283043620823040).

156729991113696 is an abundant number, since it is smaller than the sum of its proper divisors (409357250532384).

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

156729991113696 is a wasteful number, since it uses less digits than its factorization.

156729991113696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57119 (or 57111 counting only the distinct ones).

The product of its digits is 297606960, while the sum is 75.

The spelling of 156729991113696 in words is "one hundred fifty-six trillion, seven hundred twenty-nine billion, nine hundred ninety-one million, one hundred thirteen thousand, six hundred ninety-six".