338252267520 has 640 divisors, whose sum is σ = 1238157360000. Its totient is φ = 88671780864.

The previous prime is 338252267503. The next prime is 338252267527. The reversal of 338252267520 is 25762252833.

338252267520 is a `hidden beast` number, since 3 + 38 + 2 + 522 + 6 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×338252267520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338252267527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5733089251 + ... + 5733089309.

It is an arithmetic number, because the mean of its divisors is an integer number (1934620875).

Almost surely, 2^338252267520 is an apocalyptic number.

338252267520 is a gapful number since it is divisible by the number (30) 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 338252267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619078680000).

338252267520 is an abundant number, since it is smaller than the sum of its proper divisors (899905092480).

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

338252267520 is an frugal number, since it uses more digits than its factorization.

338252267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 338252267520 in words is "three hundred thirty-eight billion, two hundred fifty-two million, two hundred sixty-seven thousand, five hundred twenty".