27314149724136 has 256 divisors, whose sum is σ = 83201474764800. Its totient is φ = 8233993958400.

The previous prime is 27314149724021. The next prime is 27314149724137. The reversal of 27314149724136 is 63142794141372.

27314149724136 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 414 + 97 + 2 + 4 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27314149724137) 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, 356958121 + ... + 357034631.

It is an arithmetic number, because the mean of its divisors is an integer number (325005760800).

Almost surely, 2^{27314149724136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27314149724136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41600737382400).

27314149724136 is an abundant number, since it is smaller than the sum of its proper divisors (55887325040664).

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

27314149724136 is a wasteful number, since it uses less digits than its factorization.

27314149724136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77317 (or 77307 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 27314149724136 in words is "twenty-seven trillion, three hundred fourteen billion, one hundred forty-nine million, seven hundred twenty-four thousand, one hundred thirty-six".