351113404311153 has 144 divisors (see below), whose sum is σ = 573831165660480. Its totient is φ = 206573763559680.

The previous prime is 351113404311151. The next prime is 351113404311193.

351113404311153 is a `hidden beast` number, since 3 + 5 + 111 + 340 + 43 + 11 + 153 = 666.

351113404311153 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 351113404311153 - 2¹ = 351113404311151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (351113404311151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58160242851 + ... + 58160248887.

It is an arithmetic number, because the mean of its divisors is an integer number (3984938650420).

Almost surely, 2^{351113404311153} is an apocalyptic number.

351113404311153 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

351113404311153 is a deficient number, since it is larger than the sum of its proper divisors (222717761349327).

351113404311153 is a wasteful number, since it uses less digits than its factorization.

351113404311153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 35111340 and 4311153, that added together give a palindrome (39422493).

The spelling of 351113404311153 in words is "three hundred fifty-one trillion, one hundred thirteen billion, four hundred four million, three hundred eleven thousand, one hundred fifty-three".