201629883312 has 480 divisors, whose sum is σ = 701890284480. Its totient is φ = 55016755200.

The previous prime is 201629883277. The next prime is 201629883319. The reversal of 201629883312 is 213388926102.

201629883312 is a `hidden beast` number, since 2 + 0 + 1 + 629 + 8 + 8 + 3 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (201629883319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27857358 + ... + 27864594.

It is an arithmetic number, because the mean of its divisors is an integer number (1462271426).

Almost surely, 2^201629883312 is an apocalyptic number.

201629883312 is a gapful number since it is divisible by the number (22) 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 201629883312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350945142240).

201629883312 is an abundant number, since it is smaller than the sum of its proper divisors (500260401168).

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

201629883312 is a wasteful number, since it uses less digits than its factorization.

201629883312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7307 counting only the distinct ones).

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

The spelling of 201629883312 in words is "two hundred one billion, six hundred twenty-nine million, eight hundred eighty-three thousand, three hundred twelve".