164271730944 has 432 divisors, whose sum is σ = 487137035840. Its totient is φ = 48970137600.

The previous prime is 164271730919. The next prime is 164271730969. The reversal of 164271730944 is 449037172461.

It is an interprime number because it is at equal distance from previous prime (164271730919) and next prime (164271730969).

It is a super-3 number, since 3×164271730944³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 164271730893 and 164271730902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907578534 + ... + 907578714.

Almost surely, 2^164271730944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164271730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243568517920).

164271730944 is an abundant number, since it is smaller than the sum of its proper divisors (322865304896).

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

164271730944 is a wasteful number, since it uses less digits than its factorization.

164271730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 164271730944 in words is "one hundred sixty-four billion, two hundred seventy-one million, seven hundred thirty thousand, nine hundred forty-four".