114729849696 has 864 divisors, whose sum is σ = 415950183936. Its totient is φ = 27486412800.

The previous prime is 114729849673. The next prime is 114729849803. The reversal of 114729849696 is 696948927411.

It is a super-2 number, since 2×114729849696² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 687005005 + ... + 687005171.

It is an arithmetic number, because the mean of its divisors is an integer number (481423824).

Almost surely, 2^114729849696 is an apocalyptic number.

114729849696 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 114729849696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207975091968).

114729849696 is an abundant number, since it is smaller than the sum of its proper divisors (301220334240).

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

114729849696 is a wasteful number, since it uses less digits than its factorization.

114729849696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The spelling of 114729849696 in words is "one hundred fourteen billion, seven hundred twenty-nine million, eight hundred forty-nine thousand, six hundred ninety-six".