164450160451312 has 120 divisors (see below), whose sum is σ = 338122717917264. Its totient is φ = 77459287268352.

The previous prime is 164450160451303. The next prime is 164450160451321. The reversal of 164450160451312 is 213154061054461.

It is an interprime number because it is at equal distance from previous prime (164450160451303) and next prime (164450160451321).

It is a super-2 number, since 2×164450160451312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2820099468 + ... + 2820157780.

Almost surely, 2^{164450160451312} 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 164450160451312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169061358958632).

164450160451312 is an abundant number, since it is smaller than the sum of its proper divisors (173672557465952).

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

164450160451312 is a wasteful number, since it uses less digits than its factorization.

164450160451312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63407 (or 63378 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 164450160451312 in words is "one hundred sixty-four trillion, four hundred fifty billion, one hundred sixty million, four hundred fifty-one thousand, three hundred twelve".