164314044646100 has 144 divisors (see below), whose sum is σ = 370761029108736. Its totient is φ = 63139858560000.

The previous prime is 164314044646097. The next prime is 164314044646133. The reversal of 164314044646100 is 1646440413461.

It is a congruent number.

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, 670664822 + ... + 670909778.

Almost surely, 2^{164314044646100} is an apocalyptic number.

164314044646100 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 164314044646100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185380514554368).

164314044646100 is an abundant number, since it is smaller than the sum of its proper divisors (206446984462636).

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

164314044646100 is a wasteful number, since it uses less digits than its factorization.

164314044646100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246586 (or 246579 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 164314044646100 in words is "one hundred sixty-four trillion, three hundred fourteen billion, forty-four million, six hundred forty-six thousand, one hundred".