201538266948 has 36 divisors (see below), whose sum is σ = 527010988140. Its totient is φ = 64862890176.

The previous prime is 201538266947. The next prime is 201538266973. The reversal of 201538266948 is 849662835102.

201538266948 is a `hidden beast` number, since 2 + 0 + 1 + 538 + 2 + 6 + 69 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88755134724 + 112783132224 = 297918^2 + 335832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 201538266894 and 201538266903.

It is not an unprimeable number, because it can be changed into a prime (201538266947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96521115 + ... + 96523202.

It is an arithmetic number, because the mean of its divisors is an integer number (14639194115).

Almost surely, 2^201538266948 is an apocalyptic number.

It is an amenable number.

201538266948 is an abundant number, since it is smaller than the sum of its proper divisors (325472721192).

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

201538266948 is a wasteful number, since it uses less digits than its factorization.

201538266948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193044356 (or 193044351 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 201538266948 in words is "two hundred one billion, five hundred thirty-eight million, two hundred sixty-six thousand, nine hundred forty-eight".