201362968800 has 432 divisors, whose sum is σ = 833432719392. Its totient is φ = 44781465600.

The previous prime is 201362968733. The next prime is 201362968811. The reversal of 201362968800 is 8869263102.

201362968800 is a `hidden beast` number, since 2 + 0 + 13 + 629 + 6 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1810810 + ... + 1918790.

It is an arithmetic number, because the mean of its divisors is an integer number (1929242406).

Almost surely, 2^201362968800 is an apocalyptic number.

201362968800 is a gapful number since it is divisible by the number (20) 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 201362968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416716359696).

201362968800 is an abundant number, since it is smaller than the sum of its proper divisors (632069750592).

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

201362968800 is a wasteful number, since it uses less digits than its factorization.

201362968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108051 (or 108035 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 201362968800 in words is "two hundred one billion, three hundred sixty-two million, nine hundred sixty-eight thousand, eight hundred".