114709162464 has 288 divisors, whose sum is σ = 373291498944. Its totient is φ = 33100185600.

The previous prime is 114709162457. The next prime is 114709162471. The reversal of 114709162464 is 464261907411.

114709162464 is a `hidden beast` number, since 1 + 1 + 47 + 0 + 91 + 62 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (114709162457) and next prime (114709162471).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 18645789 + ... + 18651939.

It is an arithmetic number, because the mean of its divisors is an integer number (1296151038).

Almost surely, 2^114709162464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114709162464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186645749472).

114709162464 is an abundant number, since it is smaller than the sum of its proper divisors (258582336480).

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

114709162464 is a wasteful number, since it uses less digits than its factorization.

114709162464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 114709162464 in words is "one hundred fourteen billion, seven hundred nine million, one hundred sixty-two thousand, four hundred sixty-four".