164245236110340 has 576 divisors, whose sum is σ = 580487664734208. Its totient is φ = 33964985134080.

The previous prime is 164245236110321. The next prime is 164245236110341. The reversal of 164245236110340 is 43011632542461.

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

It is a junction number, because it is equal to n+sod(n) for n = 164245236110292 and 164245236110301.

It is not an unprimeable number, because it can be changed into a prime (164245236110341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14608660759 + ... + 14608672001.

It is an arithmetic number, because the mean of its divisors is an integer number (1007791084608).

Almost surely, 2^{164245236110340} is an apocalyptic number.

164245236110340 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 164245236110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290243832367104).

164245236110340 is an abundant number, since it is smaller than the sum of its proper divisors (416242428623868).

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

164245236110340 is a wasteful number, since it uses less digits than its factorization.

164245236110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 12627 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 164245236110340 in words is "one hundred sixty-four trillion, two hundred forty-five billion, two hundred thirty-six million, one hundred ten thousand, three hundred forty".