351963941616 has 360 divisors, whose sum is σ = 1184689079808. Its totient is φ = 97161120000.

The previous prime is 351963941569. The next prime is 351963941617. The reversal of 351963941616 is 616149369153.

351963941616 is a `hidden beast` number, since 3 + 5 + 1 + 96 + 394 + 161 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351963941617) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229890771 + ... + 229892301.

Almost surely, 2^351963941616 is an apocalyptic number.

351963941616 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 351963941616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592344539904).

351963941616 is an abundant number, since it is smaller than the sum of its proper divisors (832725138192).

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

351963941616 is a wasteful number, since it uses less digits than its factorization.

351963941616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2625 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 351963941616 in words is "three hundred fifty-one billion, nine hundred sixty-three million, nine hundred forty-one thousand, six hundred sixteen".