162657342864 has 225 divisors, whose sum is σ = 500859353137. Its totient is φ = 50952319488.

The previous prime is 162657342851. The next prime is 162657342899. The reversal of 162657342864 is 468243756261.

The square root of 162657342864 is 403308.

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

162657342864 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 573 + 4 + 2 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126636339600 + 36021003264 = 355860^2 + 189792^2 .

It is a super-2 number, since 2×162657342864² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 162657342864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 246824167 + ... + 246824825.

Almost surely, 2^162657342864 is an apocalyptic number.

162657342864 is the 403308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162657342864

162657342864 is an abundant number, since it is smaller than the sum of its proper divisors (338202010273).

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

162657342864 is an frugal number, since it uses more digits than its factorization.

162657342864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 681 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

It can be divided in two parts, 162657 and 342864, that added together give a square (505521 = 711²).

The spelling of 162657342864 in words is "one hundred sixty-two billion, six hundred fifty-seven million, three hundred forty-two thousand, eight hundred sixty-four".