13634154564680 has 64 divisors (see below), whose sum is σ = 34979935037040. Its totient is φ = 4738022940672.

The previous prime is 13634154564673. The next prime is 13634154564689. The reversal of 13634154564680 is 8646545143631.

It can be written as a sum of positive squares in 8 ways, for example, as 4854204807076 + 8779949757604 = 2203226^2 + 2963098^2 .

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13634154564689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 771153749 + ... + 771171428.

Almost surely, 2^{13634154564680} is an apocalyptic number.

13634154564680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13634154564680 is an abundant number, since it is smaller than the sum of its proper divisors (21345780472360).

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

13634154564680 is a wasteful number, since it uses less digits than its factorization.

13634154564680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542325218 (or 1542325214 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 56.

The spelling of 13634154564680 in words is "thirteen trillion, six hundred thirty-four billion, one hundred fifty-four million, five hundred sixty-four thousand, six hundred eighty".