114054721746 has 128 divisors (see below), whose sum is σ = 269178370560. Its totient is φ = 31545925632.

The previous prime is 114054721741. The next prime is 114054721819. The reversal of 114054721746 is 647127450411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 114054721698 and 114054721707.

It is not an unprimeable number, because it can be changed into a prime (114054721741) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 67208770 + ... + 67210466.

It is an arithmetic number, because the mean of its divisors is an integer number (2102956020).

Almost surely, 2^114054721746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114054721746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134589185280).

114054721746 is an abundant number, since it is smaller than the sum of its proper divisors (155123648814).

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

114054721746 is a wasteful number, since it uses less digits than its factorization.

114054721746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148.

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 114054721746 in words is "one hundred fourteen billion, fifty-four million, seven hundred twenty-one thousand, seven hundred forty-six".