164261350000 has 240 divisors, whose sum is σ = 438403002912. Its totient is φ = 59120000000.

The previous prime is 164261349983. The next prime is 164261350003. The reversal of 164261350000 is 53162461.

It is a super-2 number, since 2×164261350000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164261350003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55548522 + ... + 55551478.

Almost surely, 2^164261350000 is an apocalyptic number.

164261350000 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 164261350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219201501456).

164261350000 is an abundant number, since it is smaller than the sum of its proper divisors (274141652912).

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

164261350000 is a wasteful number, since it uses less digits than its factorization.

164261350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 164261350000 in words is "one hundred sixty-four billion, two hundred sixty-one million, three hundred fifty thousand".