162940767010944 has 512 divisors, whose sum is σ = 475197456384000. Its totient is φ = 49164870205440.

The previous prime is 162940767010921. The next prime is 162940767010949. The reversal of 162940767010944 is 449010767049261.

It is a happy number.

It is a super-2 number, since 2×162940767010944² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (162940767010949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127397002497 + ... + 127397003775.

It is an arithmetic number, because the mean of its divisors is an integer number (928120032000).

Almost surely, 2^{162940767010944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162940767010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237598728192000).

162940767010944 is an abundant number, since it is smaller than the sum of its proper divisors (312256689373056).

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

162940767010944 is a wasteful number, since it uses less digits than its factorization.

162940767010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 162940767010944 in words is "one hundred sixty-two trillion, nine hundred forty billion, seven hundred sixty-seven million, ten thousand, nine hundred forty-four".