814664105400 has 48 divisors (see below), whose sum is σ = 2525458728600. Its totient is φ = 217243761280.

The previous prime is 814664105393. The next prime is 814664105407. The reversal of 814664105400 is 4501466418.

It is an interprime number because it is at equal distance from previous prime (814664105393) and next prime (814664105407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814664105407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678886155 + ... + 678887354.

Almost surely, 2^814664105400 is an apocalyptic number.

It is an amenable number.

814664105400 is an abundant number, since it is smaller than the sum of its proper divisors (1710794623200).

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

814664105400 is a wasteful number, since it uses less digits than its factorization.

814664105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357773528 (or 1357773519 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 814664105400 in words is "eight hundred fourteen billion, six hundred sixty-four million, one hundred five thousand, four hundred".