114498816284160 has 3840 divisors, whose sum is σ = 533813433753600. Its totient is φ = 22150347816960.

The previous prime is 114498816284159. The next prime is 114498816284239. The reversal of 114498816284160 is 61482618894411.

114498816284160 is a `hidden beast` number, since 1 + 1 + 4 + 498 + 8 + 1 + 6 + 2 + 84 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 273266864431 + ... + 273266864849.

It is an arithmetic number, because the mean of its divisors is an integer number (139013915040).

Almost surely, 2^{114498816284160} is an apocalyptic number.

114498816284160 is a gapful number since it is divisible by the number (10) 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 114498816284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266906716876800).

114498816284160 is an abundant number, since it is smaller than the sum of its proper divisors (419314617469440).

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

114498816284160 is a wasteful number, since it uses less digits than its factorization.

114498816284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 114498816284160 in words is "one hundred fourteen trillion, four hundred ninety-eight billion, eight hundred sixteen million, two hundred eighty-four thousand, one hundred sixty".