13546142064 has 120 divisors (see below), whose sum is σ = 46658978912. Its totient is φ = 3572605440.

The previous prime is 13546142059. The next prime is 13546142089. The reversal of 13546142064 is 46024164531.

13546142064 is a `hidden beast` number, since 1 + 35 + 4 + 614 + 2 + 0 + 6 + 4 = 666.

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

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, 503767 + ... + 529974.

Almost surely, 2^13546142064 is an apocalyptic number.

13546142064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13546142064 is an abundant number, since it is smaller than the sum of its proper divisors (33112836848).

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

13546142064 is a wasteful number, since it uses less digits than its factorization.

13546142064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033775 (or 1033766 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13546142064 in words is "thirteen billion, five hundred forty-six million, one hundred forty-two thousand, sixty-four".