13146147070560 has 144 divisors (see below), whose sum is σ = 51269973614496. Its totient is φ = 3004833613824.

The previous prime is 13146147070541. The next prime is 13146147070577. The reversal of 13146147070560 is 6507074164131.

It is a happy number.

13146147070560 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 14 + 7 + 0 + 70 + 560 = 666.

13146147070560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652080549 + ... + 652100708.

It is an arithmetic number, because the mean of its divisors is an integer number (356041483434).

Almost surely, 2^{13146147070560} is an apocalyptic number.

13146147070560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13146147070560 is an abundant number, since it is smaller than the sum of its proper divisors (38123826543936).

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

13146147070560 is a wasteful number, since it uses less digits than its factorization.

13146147070560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304181285 (or 1304181274 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13146147070560 in words is "thirteen trillion, one hundred forty-six billion, one hundred forty-seven million, seventy thousand, five hundred sixty".