114811167744 has 1320 divisors, whose sum is σ = 448279784568. Its totient is φ = 28983951360.

The previous prime is 114811167743. The next prime is 114811167763. The reversal of 114811167744 is 447761118411.

114811167744 is a `hidden beast` number, since 1 + 1 + 481 + 1 + 167 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101606400 + 114709561344 = 10080^2 + 338688^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114811167744.

It is not an unprimeable number, because it can be changed into a prime (114811167743) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2166248422 + ... + 2166248474.

Almost surely, 2^114811167744 is an apocalyptic number.

114811167744 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 114811167744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224139892284).

114811167744 is an abundant number, since it is smaller than the sum of its proper divisors (333468616824).

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

114811167744 is a wasteful number, since it uses less digits than its factorization.

114811167744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The spelling of 114811167744 in words is "one hundred fourteen billion, eight hundred eleven million, one hundred sixty-seven thousand, seven hundred forty-four".