201194129664 has 720 divisors, whose sum is σ = 681272754624. Its totient is φ = 58525286400.

The previous prime is 201194129581. The next prime is 201194129677. The reversal of 201194129664 is 466921491102.

It is a super-2 number, since 2×201194129664² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 715993204 + ... + 715993484.

Almost surely, 2^201194129664 is an apocalyptic number.

201194129664 is a gapful number since it is divisible by the number (24) 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 201194129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340636377312).

201194129664 is an abundant number, since it is smaller than the sum of its proper divisors (480078624960).

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

201194129664 is a wasteful number, since it uses less digits than its factorization.

201194129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 201194129664 in words is "two hundred one billion, one hundred ninety-four million, one hundred twenty-nine thousand, six hundred sixty-four".