368161416 has 128 divisors (see below), whose sum is σ = 1188864000. Its totient is φ = 103381056.

The previous prime is 368161393. The next prime is 368161439. The reversal of 368161416 is 614161863.

368161416 is a `hidden beast` number, since 36 + 8 + 1 + 614 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (368161393) and next prime (368161439).

It is a super-2 number, since 2×368161416² = 271085656462250112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87145 + ... + 91271.

It is an arithmetic number, because the mean of its divisors is an integer number (9288000).

Almost surely, 2^368161416 is an apocalyptic number.

368161416 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 368161416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594432000).

368161416 is an abundant number, since it is smaller than the sum of its proper divisors (820702584).

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

368161416 is a wasteful number, since it uses less digits than its factorization.

368161416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4198 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 368161416 is about 19187.5328273335. The cubic root of 368161416 is about 716.7143344774.

The spelling of 368161416 in words is "three hundred sixty-eight million, one hundred sixty-one thousand, four hundred sixteen".