338177064960 has 1024 divisors, whose sum is σ = 1403224934400. Its totient is φ = 75676778496.

The previous prime is 338177064941. The next prime is 338177064997. The reversal of 338177064960 is 69460771833.

338177064960 is a `hidden beast` number, since 3 + 3 + 81 + 7 + 70 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×338177064960² (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 a junction number, because it is equal to n+sod(n) for n = 338177064897 and 338177064906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074705839 + ... + 2074706001.

It is an arithmetic number, because the mean of its divisors is an integer number (1370336850).

Almost surely, 2^338177064960 is an apocalyptic number.

338177064960 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 338177064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701612467200).

338177064960 is an abundant number, since it is smaller than the sum of its proper divisors (1065047869440).

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

338177064960 is an equidigital number, since it uses as much as digits as its factorization.

338177064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 338177064960 in words is "three hundred thirty-eight billion, one hundred seventy-seven million, sixty-four thousand, nine hundred sixty".