27245081413242 has 144 divisors (see below), whose sum is σ = 76653462311712. Its totient is φ = 6912071288640.

The previous prime is 27245081413211. The next prime is 27245081413243. The reversal of 27245081413242 is 24231418054272.

27245081413242 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 508 + 1 + 4 + 132 + 4 + 2 = 666.

It is a super-2 number, since 2×27245081413242² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27245081413243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32236213 + ... + 33070584.

It is an arithmetic number, because the mean of its divisors is an integer number (532315710498).

Almost surely, 2^{27245081413242} is an apocalyptic number.

27245081413242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

27245081413242 is an abundant number, since it is smaller than the sum of its proper divisors (49408380898470).

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

27245081413242 is a wasteful number, since it uses less digits than its factorization.

27245081413242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65306873 (or 65306863 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 27245081413242 in words is "twenty-seven trillion, two hundred forty-five billion, eighty-one million, four hundred thirteen thousand, two hundred forty-two".