201236195952 has 720 divisors, whose sum is σ = 679145865216. Its totient is φ = 55085184000.

The previous prime is 201236195827. The next prime is 201236195969. The reversal of 201236195952 is 259591632102.

201236195952 is a `hidden beast` number, since 2 + 0 + 1 + 23 + 619 + 5 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×201236195952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201236195898 and 201236195907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1584536913 + ... + 1584537039.

Almost surely, 2^201236195952 is an apocalyptic number.

201236195952 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 201236195952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339572932608).

201236195952 is an abundant number, since it is smaller than the sum of its proper divisors (477909669264).

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

201236195952 is a wasteful number, since it uses less digits than its factorization.

201236195952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 201236195952 in words is "two hundred one billion, two hundred thirty-six million, one hundred ninety-five thousand, nine hundred fifty-two".