201125546432 has 56 divisors (see below), whose sum is σ = 422931579840. Its totient is φ = 94569799680.

The previous prime is 201125546429. The next prime is 201125546579. The reversal of 201125546432 is 234645521102.

It is a junction number, because it is equal to n+sod(n) for n = 201125546392 and 201125546401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264244 + ... + 1414412.

It is an arithmetic number, because the mean of its divisors is an integer number (7552349640).

Almost surely, 2^201125546432 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 201125546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211465789920).

201125546432 is an abundant number, since it is smaller than the sum of its proper divisors (221806033408).

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

201125546432 is a wasteful number, since it uses less digits than its factorization.

201125546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151429 (or 151419 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 201125546432 in words is "two hundred one billion, one hundred twenty-five million, five hundred forty-six thousand, four hundred thirty-two".