338052797082 has 896 divisors, whose sum is σ = 1095750512640. Its totient is φ = 75280389120.

The previous prime is 338052797059. The next prime is 338052797141. The reversal of 338052797082 is 280797250833.

338052797082 is a `hidden beast` number, since 3 + 38 + 0 + 527 + 9 + 7 + 0 + 82 = 666.

It is a super-2 number, since 2×338052797082² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2024268163 + ... + 2024268329.

It is an arithmetic number, because the mean of its divisors is an integer number (1222935840).

Almost surely, 2^338052797082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338052797082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547875256320).

338052797082 is an abundant number, since it is smaller than the sum of its proper divisors (757697715558).

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

338052797082 is a wasteful number, since it uses less digits than its factorization.

338052797082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 338052797082 in words is "three hundred thirty-eight billion, fifty-two million, seven hundred ninety-seven thousand, eighty-two".