114061636128384 has 3072 divisors, whose sum is σ = 441155901312000. Its totient is φ = 29145592627200.

The previous prime is 114061636128379. The next prime is 114061636128389. The reversal of 114061636128384 is 483821636160411.

114061636128384 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 6 + 16 + 3 + 612 + 8 + 3 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114061636128379) and next prime (114061636128389).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 114061636128384.

It is not an unprimeable number, because it can be changed into a prime (114061636128389) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 683003809069 + ... + 683003809235.

It is an arithmetic number, because the mean of its divisors is an integer number (143605436625).

Almost surely, 2^{114061636128384} is an apocalyptic number.

114061636128384 is a gapful number since it is divisible by the number (14) 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 114061636128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220577950656000).

114061636128384 is an abundant number, since it is smaller than the sum of its proper divisors (327094265183616).

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

114061636128384 is a wasteful number, since it uses less digits than its factorization.

114061636128384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 114061636128384 in words is "one hundred fourteen trillion, sixty-one billion, six hundred thirty-six million, one hundred twenty-eight thousand, three hundred eighty-four".