351551435366336 has 112 divisors (see below), whose sum is σ = 746789819193600. Its totient is φ = 163721228838912.

The previous prime is 351551435366281. The next prime is 351551435366353. The reversal of 351551435366336 is 633663534155153.

It is a super-2 number, since 2×351551435366336² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7312916 + ... + 27506028.

It is an arithmetic number, because the mean of its divisors is an integer number (6667766242800).

Almost surely, 2^{351551435366336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351551435366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373394909596800).

351551435366336 is an abundant number, since it is smaller than the sum of its proper divisors (395238383827264).

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

351551435366336 is a wasteful number, since it uses less digits than its factorization.

351551435366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20193386 (or 20193376 counting only the distinct ones).

The product of its digits is 131220000, while the sum is 59.

The spelling of 351551435366336 in words is "three hundred fifty-one trillion, five hundred fifty-one billion, four hundred thirty-five million, three hundred sixty-six thousand, three hundred thirty-six".