201531429792 has 288 divisors, whose sum is σ = 739161521280. Its totient is φ = 50540636160.

The previous prime is 201531429751. The next prime is 201531429809. The reversal of 201531429792 is 297924135102.

201531429792 is a `hidden beast` number, since 2 + 0 + 1 + 531 + 4 + 29 + 7 + 92 = 666.

201531429792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×201531429792² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486418 + ... + 799790.

It is an arithmetic number, because the mean of its divisors is an integer number (2566533060).

Almost surely, 2^201531429792 is an apocalyptic number.

201531429792 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 201531429792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369580760640).

201531429792 is an abundant number, since it is smaller than the sum of its proper divisors (537630091488).

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

201531429792 is a wasteful number, since it uses less digits than its factorization.

201531429792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313436 (or 313425 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 201531429792 in words is "two hundred one billion, five hundred thirty-one million, four hundred twenty-nine thousand, seven hundred ninety-two".