114727462427952 has 240 divisors, whose sum is σ = 371748625672320. Its totient is φ = 32936112570240.

The previous prime is 114727462427923. The next prime is 114727462427953. The reversal of 114727462427952 is 259724264727411.

114727462427952 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 274 + 6 + 242 + 79 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114727462427952.

It is not an unprimeable number, because it can be changed into a prime (114727462427953) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12110658 + ... + 19393889.

It is an arithmetic number, because the mean of its divisors is an integer number (1548952606968).

Almost surely, 2^{114727462427952} is an apocalyptic number.

114727462427952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114727462427952 is an abundant number, since it is smaller than the sum of its proper divisors (257021163244368).

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

114727462427952 is a wasteful number, since it uses less digits than its factorization.

114727462427952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31504613 (or 31504582 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 114727462427952 in words is "one hundred fourteen trillion, seven hundred twenty-seven billion, four hundred sixty-two million, four hundred twenty-seven thousand, nine hundred fifty-two".