13676101834000 has 80 divisors (see below), whose sum is σ = 33073019035056. Its totient is φ = 5469745152000.

The previous prime is 13676101833997. The next prime is 13676101834013. The reversal of 13676101834000 is 43810167631.

It can be written as a sum of positive squares in 8 ways, for example, as 241560454144 + 13434541379856 = 491488^2 + 3665316^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13676101834000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15443230 + ... + 16304770.

Almost surely, 2^{13676101834000} is an apocalyptic number.

13676101834000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13676101834000 is an abundant number, since it is smaller than the sum of its proper divisors (19396917201056).

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

13676101834000 is an equidigital number, since it uses as much as digits as its factorization.

13676101834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869501 (or 869485 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 13676101834000 in words is "thirteen trillion, six hundred seventy-six billion, one hundred one million, eight hundred thirty-four thousand".