201501461632 has 64 divisors (see below), whose sum is σ = 407673365400. Its totient is φ = 99194241024.

The previous prime is 201501461597. The next prime is 201501461683. The reversal of 201501461632 is 236164105102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 157914043456 + 43587418176 = 397384^2 + 208776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 201501461594 and 201501461603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2354244 + ... + 2438332.

Almost surely, 2^201501461632 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 201501461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203836682700).

201501461632 is an abundant number, since it is smaller than the sum of its proper divisors (206171903768).

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

201501461632 is an equidigital number, since it uses as much as digits as its factorization.

201501461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84393 (or 84381 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 201501461632 its reverse (236164105102), we get a palindrome (437665566734).

The spelling of 201501461632 in words is "two hundred one billion, five hundred one million, four hundred sixty-one thousand, six hundred thirty-two".