120073556164864 has 81 divisors (see below), whose sum is σ = 241488627276477. Its totient is φ = 59586631329792.

The previous prime is 120073556164853. The next prime is 120073556164867. The reversal of 120073556164864 is 468461655370021.

The square root of 120073556164864 is 10957808.

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., 70531778822400 + 49541777342464 = 8398320^2 + 7038592^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120073556164799 and 120073556164808.

It is not an unprimeable number, because it can be changed into a prime (120073556164867) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 24019512637 + ... + 24019517635.

Almost surely, 2^{120073556164864} is an apocalyptic number.

120073556164864 is the 10957808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120073556164864

120073556164864 is an abundant number, since it is smaller than the sum of its proper divisors (121415071111613).

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

120073556164864 is an frugal number, since it uses more digits than its factorization.

120073556164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 120073556164864 in words is "one hundred twenty trillion, seventy-three billion, five hundred fifty-six million, one hundred sixty-four thousand, eight hundred sixty-four".