82984111461 has 6 divisors (see below), whose sum is σ = 119865938790. Its totient is φ = 55322740968.

The previous prime is 82984111439. The next prime is 82984111477. The reversal of 82984111461 is 16411148928.

82984111461 is a `hidden beast` number, since 8 + 2 + 98 + 411 + 146 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69382720836 + 13601390625 = 263406^2 + 116625^2 .

It is not a de Polignac number, because 82984111461 - 2²³ = 82975722853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82984111411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4610228406 + ... + 4610228423.

It is an arithmetic number, because the mean of its divisors is an integer number (19977656465).

Almost surely, 2^82984111461 is an apocalyptic number.

It is an amenable number.

82984111461 is a deficient number, since it is larger than the sum of its proper divisors (36881827329).

82984111461 is a wasteful number, since it uses less digits than its factorization.

82984111461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220456835 (or 9220456832 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 82984111461 in words is "eighty-two billion, nine hundred eighty-four million, one hundred eleven thousand, four hundred sixty-one".