114829168416 has 48 divisors (see below), whose sum is σ = 301481258400. Its totient is φ = 38269444608.

The previous prime is 114829168387. The next prime is 114829168427. The reversal of 114829168416 is 614861928411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×114829168416² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437580 + ... + 648948.

It is an arithmetic number, because the mean of its divisors is an integer number (6280859550).

Almost surely, 2^114829168416 is an apocalyptic number.

114829168416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114829168416 is an abundant number, since it is smaller than the sum of its proper divisors (186652089984).

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

114829168416 is a wasteful number, since it uses less digits than its factorization.

114829168416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217041 (or 217033 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The spelling of 114829168416 in words is "one hundred fourteen billion, eight hundred twenty-nine million, one hundred sixty-eight thousand, four hundred sixteen".