162961351188480 has 672 divisors, whose sum is σ = 609630544373760. Its totient is φ = 40029255106560.

The previous prime is 162961351188473. The next prime is 162961351188577. The reversal of 162961351188480 is 84881153169261.

162961351188480 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 6 + 1 + 35 + 118 + 8 + 480 = 666.

It is a super-2 number, since 2×162961351188480² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2295485785 + ... + 2295556775.

It is an arithmetic number, because the mean of its divisors is an integer number (907188310080).

Almost surely, 2^{162961351188480} is an apocalyptic number.

162961351188480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162961351188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304815272186880).

162961351188480 is an abundant number, since it is smaller than the sum of its proper divisors (446669193185280).

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

162961351188480 is a wasteful number, since it uses less digits than its factorization.

162961351188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71520 (or 71493 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 162961351188480 in words is "one hundred sixty-two trillion, nine hundred sixty-one billion, three hundred fifty-one million, one hundred eighty-eight thousand, four hundred eighty".