200101166496 has 576 divisors, whose sum is σ = 751912761600. Its totient is φ = 48951705600.

The previous prime is 200101166483. The next prime is 200101166527. The reversal of 200101166496 is 694661101002.

200101166496 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 1 + 1 + 6 + 649 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200101166496.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26363470 + ... + 26371058.

It is an arithmetic number, because the mean of its divisors is an integer number (1305404100).

Almost surely, 2^200101166496 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 200101166496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375956380800).

200101166496 is an abundant number, since it is smaller than the sum of its proper divisors (551811595104).

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

200101166496 is a wasteful number, since it uses less digits than its factorization.

200101166496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 200101166496 its reverse (694661101002), we get a palindrome (894762267498).

The spelling of 200101166496 in words is "two hundred billion, one hundred one million, one hundred sixty-six thousand, four hundred ninety-six".