338772277833 has 64 divisors (see below), whose sum is σ = 559145244672. Its totient is φ = 179841530880.

The previous prime is 338772277817. The next prime is 338772277861.

It is a happy number.

338772277833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338772277833 - 2⁴ = 338772277817 is a prime.

It is a super-2 number, since 2×338772277833² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338772277433) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 122610 + ... + 832212.

It is an arithmetic number, because the mean of its divisors is an integer number (8736644448).

Almost surely, 2^338772277833 is an apocalyptic number.

338772277833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338772277833 is a deficient number, since it is larger than the sum of its proper divisors (220372966839).

338772277833 is a wasteful number, since it uses less digits than its factorization.

338772277833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709694.

The product of its digits is 49787136, while the sum is 60.

It can be divided in two parts, 338772 and 277833, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 338772277833 in words is "three hundred thirty-eight billion, seven hundred seventy-two million, two hundred seventy-seven thousand, eight hundred thirty-three".