164219429820 has 96 divisors (see below), whose sum is σ = 487062326016. Its totient is φ = 41198924800.

The previous prime is 164219429687. The next prime is 164219429821. The reversal of 164219429820 is 28924912461.

It is a super-2 number, since 2×164219429820² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164219429820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164219429821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549815 + ... + 2613425.

It is an arithmetic number, because the mean of its divisors is an integer number (5073565896).

Almost surely, 2^164219429820 is an apocalyptic number.

164219429820 is a gapful number since it is divisible by the number (10) 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 164219429820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243531163008).

164219429820 is an abundant number, since it is smaller than the sum of its proper divisors (322842896196).

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

164219429820 is a wasteful number, since it uses less digits than its factorization.

164219429820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66171 (or 66169 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 164219429820 in words is "one hundred sixty-four billion, two hundred nineteen million, four hundred twenty-nine thousand, eight hundred twenty".