201243381504 has 576 divisors, whose sum is σ = 623898132480. Its totient is φ = 57028608000.

The previous prime is 201243381481. The next prime is 201243381527. The reversal of 201243381504 is 405183342102.

It is an interprime number because it is at equal distance from previous prime (201243381481) and next prime (201243381527).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1468929724 + ... + 1468929860.

It is an arithmetic number, because the mean of its divisors is an integer number (1083156480).

Almost surely, 2^201243381504 is an apocalyptic number.

201243381504 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 201243381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311949066240).

201243381504 is an abundant number, since it is smaller than the sum of its proper divisors (422654750976).

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

201243381504 is a wasteful number, since it uses less digits than its factorization.

201243381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 201243381504 in words is "two hundred one billion, two hundred forty-three million, three hundred eighty-one thousand, five hundred four".