201135644424 has 320 divisors, whose sum is σ = 668440745280. Its totient is φ = 55702080000.

The previous prime is 201135644371. The next prime is 201135644447. The reversal of 201135644424 is 424446531102.

201135644424 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 5 + 644 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9348319 + ... + 9369809.

It is an arithmetic number, because the mean of its divisors is an integer number (2088877329).

Almost surely, 2^201135644424 is an apocalyptic number.

201135644424 is a gapful number since it is divisible by the number (24) 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 201135644424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334220372640).

201135644424 is an abundant number, since it is smaller than the sum of its proper divisors (467305100856).

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

201135644424 is a wasteful number, since it uses less digits than its factorization.

201135644424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21634 (or 21621 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 201135644424 in words is "two hundred one billion, one hundred thirty-five million, six hundred forty-four thousand, four hundred twenty-four".