201334693560 has 768 divisors, whose sum is σ = 840320732160. Its totient is φ = 37267292160.

The previous prime is 201334693543. The next prime is 201334693579. The reversal of 201334693560 is 65396433102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101019924 + ... + 101021916.

It is an arithmetic number, because the mean of its divisors is an integer number (1094167620).

Almost surely, 2^201334693560 is an apocalyptic number.

201334693560 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 201334693560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420160366080).

201334693560 is an abundant number, since it is smaller than the sum of its proper divisors (638986038600).

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

201334693560 is a wasteful number, since it uses less digits than its factorization.

201334693560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 201334693560 in words is "two hundred one billion, three hundred thirty-four million, six hundred ninety-three thousand, five hundred sixty".