114147449095680 has 5120 divisors, whose sum is σ = 591744525926400. Its totient is φ = 20065812480000.

The previous prime is 114147449095651. The next prime is 114147449095681. The reversal of 114147449095680 is 86590944741411.

114147449095680 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 47 + 449 + 0 + 95 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114147449095681) 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 511 ways as a sum of consecutive naturals, for example, 40752390280 + ... + 40752393080.

It is an arithmetic number, because the mean of its divisors is an integer number (115575102720).

Almost surely, 2^{114147449095680} is an apocalyptic number.

114147449095680 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 114147449095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295872262963200).

114147449095680 is an abundant number, since it is smaller than the sum of its proper divisors (477597076830720).

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

114147449095680 is a wasteful number, since it uses less digits than its factorization.

114147449095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 114147449095680 in words is "one hundred fourteen trillion, one hundred forty-seven billion, four hundred forty-nine million, ninety-five thousand, six hundred eighty".