338145735100 has 36 divisors (see below), whose sum is σ = 733897027584. Its totient is φ = 135236030080.

The previous prime is 338145735097. The next prime is 338145735133. The reversal of 338145735100 is 1537541833.

It is a happy number.

It is a super-2 number, since 2×338145735100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339072 + ... + 889528.

It is an arithmetic number, because the mean of its divisors is an integer number (20386028544).

Almost surely, 2^338145735100 is an apocalyptic number.

It is an amenable number.

338145735100 is an abundant number, since it is smaller than the sum of its proper divisors (395751292484).

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

338145735100 is a wasteful number, since it uses less digits than its factorization.

338145735100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556614 (or 556607 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 338145735100 in words is "three hundred thirty-eight billion, one hundred forty-five million, seven hundred thirty-five thousand, one hundred".