164743216440 has 64 divisors (see below), whose sum is σ = 539159621760. Its totient is φ = 39937749120.

The previous prime is 164743216433. The next prime is 164743216447. The reversal of 164743216440 is 44612347461.

It is an interprime number because it is at equal distance from previous prime (164743216433) and next prime (164743216447).

It is a junction number, because it is equal to n+sod(n) for n = 164743216392 and 164743216401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164743216447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62401414 + ... + 62404053.

It is an arithmetic number, because the mean of its divisors is an integer number (8424369090).

Almost surely, 2^164743216440 is an apocalyptic number.

164743216440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164743216440 is an abundant number, since it is smaller than the sum of its proper divisors (374416405320).

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

164743216440 is a wasteful number, since it uses less digits than its factorization.

164743216440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124805492 (or 124805488 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

It can be divided in two parts, 164743 and 216440, that added together give a palindrome (381183).

The spelling of 164743216440 in words is "one hundred sixty-four billion, seven hundred forty-three million, two hundred sixteen thousand, four hundred forty".