13812858000 has 120 divisors (see below), whose sum is σ = 48243771576. Its totient is φ = 3683424000.

The previous prime is 13812857999. The next prime is 13812858023. The reversal of 13812858000 is 85821831.

It can be written as a sum of positive squares in 4 ways, for example, as 1422496656 + 12390361344 = 37716^2 + 111312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13812858000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365691 + ... + 401690.

Almost surely, 2^13812858000 is an apocalyptic number.

13812858000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13812858000 is an abundant number, since it is smaller than the sum of its proper divisors (34430913576).

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

13812858000 is a wasteful number, since it uses less digits than its factorization.

13812858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767410 (or 767391 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 13812858000 in words is "thirteen billion, eight hundred twelve million, eight hundred fifty-eight thousand".