814668153 has 32 divisors (see below), whose sum is σ = 1200460800. Its totient is φ = 488255040.

The previous prime is 814668143. The next prime is 814668163. The reversal of 814668153 is 351866418.

It is an interprime number because it is at equal distance from previous prime (814668143) and next prime (814668163).

It is not a de Polignac number, because 814668153 - 2⁴ = 814668137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (814668143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004118 + ... + 1004928.

It is an arithmetic number, because the mean of its divisors is an integer number (37514400).

Almost surely, 2^814668153 is an apocalyptic number.

It is an amenable number.

814668153 is a deficient number, since it is larger than the sum of its proper divisors (385792647).

814668153 is a wasteful number, since it uses less digits than its factorization.

814668153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469.

The product of its digits is 138240, while the sum is 42.

The square root of 814668153 is about 28542.3922087831. The cubic root of 814668153 is about 933.9570679232.

The spelling of 814668153 in words is "eight hundred fourteen million, six hundred sixty-eight thousand, one hundred fifty-three".