164306252356064 has 96 divisors (see below), whose sum is σ = 398130061049280. Its totient is φ = 64999725023232.

The previous prime is 164306252356061. The next prime is 164306252356067. The reversal of 164306252356064 is 460653252603461.

It is an interprime number because it is at equal distance from previous prime (164306252356061) and next prime (164306252356067).

It is a junction number, because it is equal to n+sod(n) for n = 164306252355997 and 164306252356015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164306252356061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619159472 + ... + 619424784.

It is an arithmetic number, because the mean of its divisors is an integer number (4147188135930).

Almost surely, 2^{164306252356064} is an apocalyptic number.

164306252356064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164306252356064 is an abundant number, since it is smaller than the sum of its proper divisors (233823808693216).

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

164306252356064 is a wasteful number, since it uses less digits than its factorization.

164306252356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478012 (or 478004 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 53.

The spelling of 164306252356064 in words is "one hundred sixty-four trillion, three hundred six billion, two hundred fifty-two million, three hundred fifty-six thousand, sixty-four".