5814869904864 has 480 divisors, whose sum is σ = 17810544052224. Its totient is φ = 1859103912960.

The previous prime is 5814869904859. The next prime is 5814869904929. The reversal of 5814869904864 is 4684099684185.

5814869904864 is a `hidden beast` number, since 5 + 81 + 4 + 8 + 69 + 9 + 0 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5814869904792 and 5814869904801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7826204077 + ... + 7826204819.

Almost surely, 2^{5814869904864} is an apocalyptic number.

5814869904864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5814869904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905272026112).

5814869904864 is an abundant number, since it is smaller than the sum of its proper divisors (11995674147360).

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

5814869904864 is a wasteful number, since it uses less digits than its factorization.

5814869904864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 5814869904864 in words is "five trillion, eight hundred fourteen billion, eight hundred sixty-nine million, nine hundred four thousand, eight hundred sixty-four".