13734047336160 has 96 divisors (see below), whose sum is σ = 45539209618560. Its totient is φ = 3469654061568.

The previous prime is 13734047336159. The next prime is 13734047336183. The reversal of 13734047336160 is 6163374043731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752954002 + ... + 752972241.

It is an arithmetic number, because the mean of its divisors is an integer number (474366766860).

Almost surely, 2^{13734047336160} is an apocalyptic number.

13734047336160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13734047336160 is an abundant number, since it is smaller than the sum of its proper divisors (31805162282400).

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

13734047336160 is a wasteful number, since it uses less digits than its factorization.

13734047336160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505926280 (or 1505926272 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 13734047336160 in words is "thirteen trillion, seven hundred thirty-four billion, forty-seven million, three hundred thirty-six thousand, one hundred sixty".