338854128420115 has 288 divisors, whose sum is σ = 570452894968320. Its totient is φ = 188501499648000.

The previous prime is 338854128420113. The next prime is 338854128420149. The reversal of 338854128420115 is 511024821458833.

It is not a de Polignac number, because 338854128420115 - 2¹ = 338854128420113 is a prime.

It is a super-2 number, since 2×338854128420115² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (338854128420113) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2774452600 + ... + 2774574730.

It is an arithmetic number, because the mean of its divisors is an integer number (1980739218640).

Almost surely, 2^{338854128420115} is an apocalyptic number.

338854128420115 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

338854128420115 is a deficient number, since it is larger than the sum of its proper divisors (231598766548205).

338854128420115 is a wasteful number, since it uses less digits than its factorization.

338854128420115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122283 (or 122243 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 55.

Adding to 338854128420115 its reverse (511024821458833), we get a palindrome (849878949878948).

The spelling of 338854128420115 in words is "three hundred thirty-eight trillion, eight hundred fifty-four billion, one hundred twenty-eight million, four hundred twenty thousand, one hundred fifteen".