201381249024 has 216 divisors, whose sum is σ = 592926571692. Its totient is φ = 65840087040.

The previous prime is 201381249019. The next prime is 201381249037. The reversal of 201381249024 is 420942183102.

201381249024 is a `hidden beast` number, since 2 + 0 + 138 + 12 + 490 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188286566400 + 13094682624 = 433920^2 + 114432^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 201381249024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62519734 + ... + 62522954.

Almost surely, 2^201381249024 is an apocalyptic number.

201381249024 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 201381249024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296463285846).

201381249024 is an abundant number, since it is smaller than the sum of its proper divisors (391545322668).

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

201381249024 is an frugal number, since it uses more digits than its factorization.

201381249024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 201381249024 in words is "two hundred one billion, three hundred eighty-one million, two hundred forty-nine thousand, twenty-four".