201533408736 has 192 divisors, whose sum is σ = 582465945600. Its totient is φ = 60507072000.

The previous prime is 201533408701. The next prime is 201533408743. The reversal of 201533408736 is 637804335102.

It is a super-2 number, since 2×201533408736² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69999745 + ... + 70002623.

It is an arithmetic number, because the mean of its divisors is an integer number (3033676800).

Almost surely, 2^201533408736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201533408736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291232972800).

201533408736 is an abundant number, since it is smaller than the sum of its proper divisors (380932536864).

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

201533408736 is a wasteful number, since it uses less digits than its factorization.

201533408736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 201533408736 in words is "two hundred one billion, five hundred thirty-three million, four hundred eight thousand, seven hundred thirty-six".