81884277216 has 96 divisors (see below), whose sum is σ = 272947610880. Its totient is φ = 23395506048.

The previous prime is 81884277199. The next prime is 81884277217. The reversal of 81884277216 is 61277248818.

81884277216 is a `hidden beast` number, since 81 + 8 + 84 + 277 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81884277217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6763486 + ... + 6775581.

It is an arithmetic number, because the mean of its divisors is an integer number (2843204280).

Almost surely, 2^81884277216 is an apocalyptic number.

It is an amenable number.

81884277216 is an abundant number, since it is smaller than the sum of its proper divisors (191063333664).

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

81884277216 is a wasteful number, since it uses less digits than its factorization.

81884277216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13539093 (or 13539079 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 81884277216 in words is "eighty-one billion, eight hundred eighty-four million, two hundred seventy-seven thousand, two hundred sixteen".