114349205736 has 128 divisors (see below), whose sum is σ = 328045132800. Its totient is φ = 36868608000.

The previous prime is 114349205669. The next prime is 114349205743. The reversal of 114349205736 is 637502943411.

114349205736 is a `hidden beast` number, since 1 + 1 + 434 + 9 + 205 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114349205691 and 114349205700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22502716 + ... + 22507796.

It is an arithmetic number, because the mean of its divisors is an integer number (2562852600).

Almost surely, 2^114349205736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114349205736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164022566400).

114349205736 is an abundant number, since it is smaller than the sum of its proper divisors (213695927064).

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

114349205736 is a wasteful number, since it uses less digits than its factorization.

114349205736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 114349205736 in words is "one hundred fourteen billion, three hundred forty-nine million, two hundred five thousand, seven hundred thirty-six".