13642068133428 has 192 divisors, whose sum is σ = 40818897907200. Its totient is φ = 3455567216640.

The previous prime is 13642068133427. The next prime is 13642068133429. The reversal of 13642068133428 is 82433186024631.

It is an interprime number because it is at equal distance from previous prime (13642068133427) and next prime (13642068133429).

It is a super-2 number, since 2×13642068133428² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642068133427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2319463 + ... + 5715246.

It is an arithmetic number, because the mean of its divisors is an integer number (212598426600).

Almost surely, 2^{13642068133428} is an apocalyptic number.

It is an amenable number.

13642068133428 is an abundant number, since it is smaller than the sum of its proper divisors (27176829773772).

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

13642068133428 is a wasteful number, since it uses less digits than its factorization.

13642068133428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8034810 (or 8034808 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 13642068133428 in words is "thirteen trillion, six hundred forty-two billion, sixty-eight million, one hundred thirty-three thousand, four hundred twenty-eight".