114074767760 has 80 divisors (see below), whose sum is σ = 274141471680. Its totient is φ = 44121054720.

The previous prime is 114074767757. The next prime is 114074767783. The reversal of 114074767760 is 67767470411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 114074767699 and 114074767708.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 89819 + ... + 486021.

It is an arithmetic number, because the mean of its divisors is an integer number (3426768396).

Almost surely, 2^114074767760 is an apocalyptic number.

114074767760 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 114074767760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137070735840).

114074767760 is an abundant number, since it is smaller than the sum of its proper divisors (160066703920).

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

114074767760 is a wasteful number, since it uses less digits than its factorization.

114074767760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396336 (or 396330 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 50.

The spelling of 114074767760 in words is "one hundred fourteen billion, seventy-four million, seven hundred sixty-seven thousand, seven hundred sixty".