84632119056 has 75 divisors (see below), whose sum is σ = 244980221893. Its totient is φ = 28207215360.

The previous prime is 84632119049. The next prime is 84632119063. The reversal of 84632119056 is 65091123648.

The square root of 84632119056 is 290916.

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

84632119056 is a `hidden beast` number, since 8 + 4 + 632 + 1 + 1 + 9 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (84632119049) and next prime (84632119063).

It can be written as a sum of positive squares in only one way, i.e., 28860573456 + 55771545600 = 169884^2 + 236160^2 .

It is a super-2 number, since 2×84632119056² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10468936 + ... + 10477016.

Almost surely, 2^84632119056 is an apocalyptic number.

84632119056 is the 290916-th square number.

It is an amenable number.

84632119056 is an abundant number, since it is smaller than the sum of its proper divisors (160348102837).

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

84632119056 is an frugal number, since it uses more digits than its factorization.

84632119056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 84632119056 in words is "eighty-four billion, six hundred thirty-two million, one hundred nineteen thousand, fifty-six".