164242914900 has 432 divisors, whose sum is σ = 517874395584. Its totient is φ = 40150978560.

The previous prime is 164242914769. The next prime is 164242914949. The reversal of 164242914900 is 9419242461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 487367532 + ... + 487367868.

Almost surely, 2^164242914900 is an apocalyptic number.

164242914900 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 164242914900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258937197792).

164242914900 is an abundant number, since it is smaller than the sum of its proper divisors (353631480684).

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

164242914900 is a wasteful number, since it uses less digits than its factorization.

164242914900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 164242914900 in words is "one hundred sixty-four billion, two hundred forty-two million, nine hundred fourteen thousand, nine hundred".