81201414442248 has 96 divisors (see below), whose sum is σ = 224608111378560. Its totient is φ = 26490244406400.

The previous prime is 81201414442243. The next prime is 81201414442439. The reversal of 81201414442248 is 84224441410218.

81201414442248 is a `hidden beast` number, since 8 + 1 + 2 + 0 + 1 + 414 + 4 + 4 + 224 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (81201414442243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92273523 + ... + 93149373.

It is an arithmetic number, because the mean of its divisors is an integer number (2339667826860).

Almost surely, 2^{81201414442248} is an apocalyptic number.

It is an amenable number.

81201414442248 is an abundant number, since it is smaller than the sum of its proper divisors (143406696936312).

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

81201414442248 is a wasteful number, since it uses less digits than its factorization.

81201414442248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903307 (or 903300 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 81201414442248 in words is "eighty-one trillion, two hundred one billion, four hundred fourteen million, four hundred forty-two thousand, two hundred forty-eight".