82619454096 has 135 divisors (see below), whose sum is σ = 245795397211. Its totient is φ = 25901432832.

The previous prime is 82619454083. The next prime is 82619454107. The reversal of 82619454096 is 69045491628.

The square root of 82619454096 is 287436.

It is a perfect power (a square), and thus also a powerful number.

82619454096 is a `hidden beast` number, since 8 + 2 + 6 + 1 + 9 + 4 + 540 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11189408400 + 71430045696 = 105780^2 + 267264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58636240 + ... + 58637648.

Almost surely, 2^82619454096 is an apocalyptic number.

82619454096 is the 287436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82619454096

82619454096 is an abundant number, since it is smaller than the sum of its proper divisors (163175943115).

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

82619454096 is a wasteful number, since it uses less digits than its factorization.

82619454096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 82619454096 in words is "eighty-two billion, six hundred nineteen million, four hundred fifty-four thousand, ninety-six".