351363672288 has 96 divisors (see below), whose sum is σ = 1025124095520. Its totient is φ = 117085409280.

The previous prime is 351363672281. The next prime is 351363672293. The reversal of 351363672288 is 882276363153.

It is a happy number.

351363672288 is a `hidden beast` number, since 3 + 51 + 3 + 6 + 367 + 228 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351363672281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2843406 + ... + 2964402.

It is an arithmetic number, because the mean of its divisors is an integer number (10678375995).

Almost surely, 2^351363672288 is an apocalyptic number.

It is an amenable number.

351363672288 is an abundant number, since it is smaller than the sum of its proper divisors (673760423232).

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

351363672288 is a wasteful number, since it uses less digits than its factorization.

351363672288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124377 (or 124363 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 351363672288 in words is "three hundred fifty-one billion, three hundred sixty-three million, six hundred seventy-two thousand, two hundred eighty-eight".