351816168359936 has 288 divisors, whose sum is σ = 822382627248000. Its totient is φ = 150407872634880.

The previous prime is 351816168359917. The next prime is 351816168359941. The reversal of 351816168359936 is 639953861618153.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192144274541 + ... + 192144276371.

It is an arithmetic number, because the mean of its divisors is an integer number (2855495233500).

Almost surely, 2^{351816168359936} 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 351816168359936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411191313624000).

351816168359936 is an abundant number, since it is smaller than the sum of its proper divisors (470566458888064).

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

351816168359936 is an frugal number, since it uses more digits than its factorization.

351816168359936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2363 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 74.

The spelling of 351816168359936 in words is "three hundred fifty-one trillion, eight hundred sixteen billion, one hundred sixty-eight million, three hundred fifty-nine thousand, nine hundred thirty-six".