81414414090 has 64 divisors (see below), whose sum is σ = 222972837120. Its totient is φ = 21123737280.

The previous prime is 81414414073. The next prime is 81414414121. The reversal of 81414414090 is 9041441418.

81414414090 is a `hidden beast` number, since 81 + 414 + 41 + 40 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4064806 + ... + 4084785.

It is an arithmetic number, because the mean of its divisors is an integer number (3483950580).

Almost surely, 2^81414414090 is an apocalyptic number.

81414414090 is an abundant number, since it is smaller than the sum of its proper divisors (141558423030).

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

81414414090 is a wasteful number, since it uses less digits than its factorization.

81414414090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149644 (or 8149638 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 81414414090 in words is "eighty-one billion, four hundred fourteen million, four hundred fourteen thousand, ninety".