1114400961 has 6 divisors (see below), whose sum is σ = 1609690290. Its totient is φ = 742933968.

The previous prime is 1114400957. The next prime is 1114400971. The reversal of 1114400961 is 1690044111.

It can be written as a sum of positive squares in only one way, i.e., 1080108225 + 34292736 = 32865^2 + 5856^2 .

It is not a de Polignac number, because 1114400961 - 2² = 1114400957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1114400941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61911156 + ... + 61911173.

It is an arithmetic number, because the mean of its divisors is an integer number (268281715).

Almost surely, 2^1114400961 is an apocalyptic number.

It is an amenable number.

1114400961 is a deficient number, since it is larger than the sum of its proper divisors (495289329).

1114400961 is a wasteful number, since it uses less digits than its factorization.

1114400961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123822335 (or 123822332 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1114400961 is about 33382.6446076401. The cubic root of 1114400961 is about 1036.7653942612.

The spelling of 1114400961 in words is "one billion, one hundred fourteen million, four hundred thousand, nine hundred sixty-one".