351641306016 has 1728 divisors, whose sum is σ = 1444459161600. Its totient is φ = 80472268800.

The previous prime is 351641305993. The next prime is 351641306041. The reversal of 351641306016 is 610603146153.

351641306016 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 41 + 3 + 0 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4817004156 + ... + 4817004228.

Almost surely, 2^351641306016 is an apocalyptic number.

351641306016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351641306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722229580800).

351641306016 is an abundant number, since it is smaller than the sum of its proper divisors (1092817855584).

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

351641306016 is a wasteful number, since it uses less digits than its factorization.

351641306016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 351641306016 in words is "three hundred fifty-one billion, six hundred forty-one million, three hundred six thousand, sixteen".