27614400114032 has 60 divisors (see below), whose sum is σ = 57250118019840. Its totient is φ = 12900157421568.

The previous prime is 27614400114011. The next prime is 27614400114143. The reversal of 27614400114032 is 23041100441672.

It is a junction number, because it is equal to n+sod(n) for n = 27614400113983 and 27614400114001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21162032 + ... + 22429007.

It is an arithmetic number, because the mean of its divisors is an integer number (954168633664).

Almost surely, 2^{27614400114032} is an apocalyptic number.

It is an amenable number.

27614400114032 is an abundant number, since it is smaller than the sum of its proper divisors (29635717905808).

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

27614400114032 is a wasteful number, since it uses less digits than its factorization.

27614400114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43591218 (or 43591195 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 27614400114032 in words is "twenty-seven trillion, six hundred fourteen billion, four hundred million, one hundred fourteen thousand, thirty-two".