338642356716 has 120 divisors (see below), whose sum is σ = 907658657136. Its totient is φ = 110031851520.

The previous prime is 338642356709. The next prime is 338642356729. The reversal of 338642356716 is 617653246833.

338642356716 is a `hidden beast` number, since 3 + 3 + 8 + 64 + 2 + 3 + 567 + 16 = 666.

It is a super-2 number, since 2×338642356716² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16156155 + ... + 16177101.

Almost surely, 2^338642356716 is an apocalyptic number.

338642356716 is a gapful number since it is divisible by the number (36) 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 338642356716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453829328568).

338642356716 is an abundant number, since it is smaller than the sum of its proper divisors (569016300420).

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

338642356716 is a wasteful number, since it uses less digits than its factorization.

338642356716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22221 (or 22210 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 338642356716 in words is "three hundred thirty-eight billion, six hundred forty-two million, three hundred fifty-six thousand, seven hundred sixteen".