162896466348100 has 243 divisors, whose sum is σ = 378430226986287. Its totient is φ = 60851145768960.

The previous prime is 162896466348097. The next prime is 162896466348137. The reversal of 162896466348100 is 1843664698261.

The square root of 162896466348100 is 12763090.

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

It can be written as a sum of positive squares in 40 ways, for example, as 138745453508676 + 24151012839424 = 11779026^2 + 4914368^2 .

It is a super-2 number, since 2×162896466348100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 418756982706 + ... + 418756983094.

Almost surely, 2^{162896466348100} is an apocalyptic number.

162896466348100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162896466348100 is the 12763090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162896466348100

162896466348100 is an abundant number, since it is smaller than the sum of its proper divisors (215533760638187).

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

162896466348100 is an equidigital number, since it uses as much as digits as its factorization.

162896466348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

The spelling of 162896466348100 in words is "one hundred sixty-two trillion, eight hundred ninety-six billion, four hundred sixty-six million, three hundred forty-eight thousand, one hundred".