162665212164 has 384 divisors, whose sum is σ = 525553459200. Its totient is φ = 37892136960.

The previous prime is 162665212133. The next prime is 162665212169. The reversal of 162665212164 is 461212566261.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (162665212169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38443929 + ... + 38448159.

It is an arithmetic number, because the mean of its divisors is an integer number (1368628800).

Almost surely, 2^162665212164 is an apocalyptic number.

162665212164 is a gapful number since it is divisible by the number (14) 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 162665212164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262776729600).

162665212164 is an abundant number, since it is smaller than the sum of its proper divisors (362888247036).

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

162665212164 is a wasteful number, since it uses less digits than its factorization.

162665212164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4401 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 162665212164 in words is "one hundred sixty-two billion, six hundred sixty-five million, two hundred twelve thousand, one hundred sixty-four".