351146016 has 240 divisors, whose sum is σ = 1179491544. Its totient is φ = 101523456.

The previous prime is 351145979. The next prime is 351146027. The reversal of 351146016 is 610641153.

351146016 is a `hidden beast` number, since 3 + 51 + 1 + 4 + 601 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168896016 + 182250000 = 12996^2 + 13500^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572526 + ... + 573138.

Almost surely, 2^351146016 is an apocalyptic number.

351146016 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 351146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589745772).

351146016 is an abundant number, since it is smaller than the sum of its proper divisors (828345528).

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

351146016 is a wasteful number, since it uses less digits than its factorization.

351146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 351146016 is about 18738.8904687551. The cubic root of 351146016 is about 705.4982082786.

Adding to 351146016 its reverse (610641153), we get a palindrome (961787169).

The spelling of 351146016 in words is "three hundred fifty-one million, one hundred forty-six thousand, sixteen".