81824340697416 has 48 divisors (see below), whose sum is σ = 221621160662460. Its totient is φ = 27273109921920.

The previous prime is 81824340697373. The next prime is 81824340697433. The reversal of 81824340697416 is 61479604342818.

81824340697416 is a `hidden beast` number, since 8 + 1 + 82 + 43 + 40 + 69 + 7 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73622474765316 + 8201865932100 = 8580354^2 + 2863890^2 .

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, 33613995 + ... + 35965946.

Almost surely, 2^{81824340697416} is an apocalyptic number.

It is an amenable number.

81824340697416 is an abundant number, since it is smaller than the sum of its proper divisors (139796819965044).

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

81824340697416 is a wasteful number, since it uses less digits than its factorization.

81824340697416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69596286 (or 69596279 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 81824340697416 in words is "eighty-one trillion, eight hundred twenty-four billion, three hundred forty million, six hundred ninety-seven thousand, four hundred sixteen".