114334751567160 has 96 divisors (see below), whose sum is σ = 375195592643040. Its totient is φ = 30193254772992.

The previous prime is 114334751567137. The next prime is 114334751567177. The reversal of 114334751567160 is 61765157433411.

114334751567160 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 4 + 7 + 515 + 67 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114334751567097 and 114334751567106.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1541693659 + ... + 1541767818.

It is an arithmetic number, because the mean of its divisors is an integer number (3908287423365).

Almost surely, 2^{114334751567160} is an apocalyptic number.

114334751567160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114334751567160 is an abundant number, since it is smaller than the sum of its proper divisors (260860841075880).

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

114334751567160 is a wasteful number, since it uses less digits than its factorization.

114334751567160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083461597 (or 3083461590 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 114334751567160 in words is "one hundred fourteen trillion, three hundred thirty-four billion, seven hundred fifty-one million, five hundred sixty-seven thousand, one hundred sixty".