7182357120064 has 63 divisors (see below), whose sum is σ = 16579773482373. Its totient is φ = 3078088731648.

The previous prime is 7182357120061. The next prime is 7182357120131. The reversal of 7182357120064 is 4600217532817.

The square root of 7182357120064 is 2679992.

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., 3924361000000 + 3257996120064 = 1981000^2 + 1804992^2 .

It is a super-2 number, since 2×7182357120064² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7182357119996 and 7182357120023.

It is not an unprimeable number, because it can be changed into a prime (7182357120061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150055624 + ... + 150103480.

Almost surely, 2^{7182357120064} is an apocalyptic number.

7182357120064 is the 2679992-nd square number.

It is an amenable number.

7182357120064 is an abundant number, since it is smaller than the sum of its proper divisors (9397416362309).

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

7182357120064 is an frugal number, since it uses more digits than its factorization.

7182357120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95740 (or 47866 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 7182357120064 in words is "seven trillion, one hundred eighty-two billion, three hundred fifty-seven million, one hundred twenty thousand, sixty-four".