114729775707456 has 448 divisors, whose sum is σ = 415678261555200. Its totient is φ = 30217646979072.

The previous prime is 114729775707433. The next prime is 114729775707467. The reversal of 114729775707456 is 654707577927411.

114729775707456 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 2 + 9 + 7 + 7 + 570 + 7 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116344275 + ... + 117326253.

It is an arithmetic number, because the mean of its divisors is an integer number (927853262400).

Almost surely, 2^{114729775707456} is an apocalyptic number.

114729775707456 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 114729775707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207839130777600).

114729775707456 is an abundant number, since it is smaller than the sum of its proper divisors (300948485847744).

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

114729775707456 is a wasteful number, since it uses less digits than its factorization.

114729775707456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982763 (or 982747 counting only the distinct ones).

The product of its (nonzero) digits is 726062400, while the sum is 72.

The spelling of 114729775707456 in words is "one hundred fourteen trillion, seven hundred twenty-nine billion, seven hundred seventy-five million, seven hundred seven thousand, four hundred fifty-six".