201828179968 has 56 divisors (see below), whose sum is σ = 410249651940. Its totient is φ = 99259514880.

The previous prime is 201828179963. The next prime is 201828179983. The reversal of 201828179968 is 869971828102.

It can be written as a sum of positive squares in 2 ways, for example, as 193487376384 + 8340803584 = 439872^2 + 91328^2 .

It is a super-2 number, since 2×201828179968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (201828179963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297768 + ... + 701656.

Almost surely, 2^201828179968 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 201828179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205124825970).

201828179968 is an abundant number, since it is smaller than the sum of its proper divisors (208421471972).

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

201828179968 is an frugal number, since it uses more digits than its factorization.

201828179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403976 (or 403952 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 61.

The spelling of 201828179968 in words is "two hundred one billion, eight hundred twenty-eight million, one hundred seventy-nine thousand, nine hundred sixty-eight".