164516739453440 has 160 divisors (see below), whose sum is σ = 431070402407040. Its totient is φ = 59719123763200.

The previous prime is 164516739453403. The next prime is 164516739453499. The reversal of 164516739453440 is 44354937615461.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×164516739453440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10889285 + ... + 21156795.

It is an arithmetic number, because the mean of its divisors is an integer number (2694190015044).

Almost surely, 2^{164516739453440} is an apocalyptic number.

164516739453440 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 164516739453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215535201203520).

164516739453440 is an abundant number, since it is smaller than the sum of its proper divisors (266553662953600).

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

164516739453440 is a wasteful number, since it uses less digits than its factorization.

164516739453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268114 (or 10268098 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 62.

The spelling of 164516739453440 in words is "one hundred sixty-four trillion, five hundred sixteen billion, seven hundred thirty-nine million, four hundred fifty-three thousand, four hundred forty".