84664989044164 has 243 divisors, whose sum is σ = 165368331665901. Its totient is φ = 37921372698240.

The previous prime is 84664989044101. The next prime is 84664989044177. The reversal of 84664989044164 is 46144098946648.

The square root of 84664989044164 is 9201358.

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

It can be written as a sum of positive squares in only one way, i.e., 48059972200900 + 36605016843264 = 6932530^2 + 6050208^2 .

It is a Harshad number since it is a multiple of its sum of digits (73).

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 80 ways as a sum of consecutive naturals, for example, 791261579799 + ... + 791261579905.

Almost surely, 2^{84664989044164} is an apocalyptic number.

84664989044164 is the 9201358-th square number.

It is an amenable number.

84664989044164 is a deficient number, since it is larger than the sum of its proper divisors (80703342621737).

84664989044164 is a wasteful number, since it uses less digits than its factorization.

84664989044164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 73.

The spelling of 84664989044164 in words is "eighty-four trillion, six hundred sixty-four billion, nine hundred eighty-nine million, forty-four thousand, one hundred sixty-four".