162419019912656 has 160 divisors (see below), whose sum is σ = 342932500394400. Its totient is φ = 74516473774080.

The previous prime is 162419019912619. The next prime is 162419019912661. The reversal of 162419019912656 is 656219910914261.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 82556486323600 + 79862533589056 = 9086060^2 + 8936584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5159911190 + ... + 5159942666.

It is an arithmetic number, because the mean of its divisors is an integer number (2143328127465).

Almost surely, 2^{162419019912656} is an apocalyptic number.

162419019912656 is a gapful number since it is divisible by the number (16) 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 162419019912656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171466250197200).

162419019912656 is an abundant number, since it is smaller than the sum of its proper divisors (180513480481744).

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

162419019912656 is a wasteful number, since it uses less digits than its factorization.

162419019912656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32394 (or 32362 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 62.

The spelling of 162419019912656 in words is "one hundred sixty-two trillion, four hundred nineteen billion, nineteen million, nine hundred twelve thousand, six hundred fifty-six".