162948013613352 has 192 divisors, whose sum is σ = 506919968755200. Its totient is φ = 46766055611520.

The previous prime is 162948013613309. The next prime is 162948013613353. The reversal of 162948013613352 is 253316310849261.

162948013613352 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 4 + 8 + 0 + 13 + 613 + 3 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (162948013613353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51539203 + ... + 54609389.

It is an arithmetic number, because the mean of its divisors is an integer number (2640208170600).

Almost surely, 2^{162948013613352} is an apocalyptic number.

162948013613352 is a gapful number since it is divisible by the number (12) 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 162948013613352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253459984377600).

162948013613352 is an abundant number, since it is smaller than the sum of its proper divisors (343971955141848).

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

162948013613352 is a wasteful number, since it uses less digits than its factorization.

162948013613352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073756 (or 3073749 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 162948013613352 in words is "one hundred sixty-two trillion, nine hundred forty-eight billion, thirteen million, six hundred thirteen thousand, three hundred fifty-two".