114115682742480 has 320 divisors, whose sum is σ = 401460126336000. Its totient is φ = 29781016473600.

The previous prime is 114115682742463. The next prime is 114115682742497. The reversal of 114115682742480 is 84247286511411.

114115682742480 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 568 + 2 + 74 + 2 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114115682742463) and next prime (114115682742497).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1537889380 + ... + 1537963580.

It is an arithmetic number, because the mean of its divisors is an integer number (1254562894800).

Almost surely, 2^{114115682742480} is an apocalyptic number.

114115682742480 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 114115682742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200730063168000).

114115682742480 is an abundant number, since it is smaller than the sum of its proper divisors (287344443593520).

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

114115682742480 is a wasteful number, since it uses less digits than its factorization.

114115682742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89419 (or 89407 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 114115682742480 in words is "one hundred fourteen trillion, one hundred fifteen billion, six hundred eighty-two million, seven hundred forty-two thousand, four hundred eighty".