356164116 has 192 divisors, whose sum is σ = 1079930880. Its totient is φ = 88704000.

The previous prime is 356164111. The next prime is 356164117. The reversal of 356164116 is 611461653.

It is a super-2 number, since 2×356164116² = 253705755052122912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356164111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4001800 + ... + 4001888.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^356164116 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 356164116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

356164116 is an abundant number, since it is smaller than the sum of its proper divisors (723766764).

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

356164116 is a wasteful number, since it uses less digits than its factorization.

356164116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 356164116 is about 18872.3108283008. The cubic root of 356164116 is about 708.8429982264.

The spelling of 356164116 in words is "three hundred fifty-six million, one hundred sixty-four thousand, one hundred sixteen".