84712842865764 has 135 divisors (see below), whose sum is σ = 222894119458857. Its totient is φ = 28055431143936.

The previous prime is 84712842865741. The next prime is 84712842865813. The reversal of 84712842865764 is 46756824821748.

The square root of 84712842865764 is 9203958.

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

84712842865764 is a `hidden beast` number, since 8 + 4 + 7 + 1 + 2 + 8 + 42 + 8 + 6 + 576 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84604859648100 + 107983217664 = 9198090^2 + 328608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84712842865692 and 84712842865701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27004411204 + ... + 27004414340.

Almost surely, 2^{84712842865764} is an apocalyptic number.

84712842865764 is the 9203958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84712842865764

84712842865764 is an abundant number, since it is smaller than the sum of its proper divisors (138181276593093).

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

84712842865764 is an frugal number, since it uses more digits than its factorization.

84712842865764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 3305 counting only the distinct ones).

The product of its digits is 1156055040, while the sum is 72.

The spelling of 84712842865764 in words is "eighty-four trillion, seven hundred twelve billion, eight hundred forty-two million, eight hundred sixty-five thousand, seven hundred sixty-four".