114781779001 has 16 divisors (see below), whose sum is σ = 123312260304. Its totient is φ = 106451656704.

The previous prime is 114781778999. The next prime is 114781779019. The reversal of 114781779001 is 100977187411.

It can be written as a sum of positive squares in 8 ways, for example, as 12414416400 + 102367362601 = 111420^2 + 319949^2 .

It is a cyclic number.

It is not a de Polignac number, because 114781779001 - 2¹ = 114781778999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114781779901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319221 + ... + 1403533.

It is an arithmetic number, because the mean of its divisors is an integer number (7707016269).

Almost surely, 2^114781779001 is an apocalyptic number.

It is an amenable number.

114781779001 is a deficient number, since it is larger than the sum of its proper divisors (8530481303).

114781779001 is a wasteful number, since it uses less digits than its factorization.

114781779001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85500.

The product of its (nonzero) digits is 98784, while the sum is 46.

The spelling of 114781779001 in words is "one hundred fourteen billion, seven hundred eighty-one million, seven hundred seventy-nine thousand, one".