361216512 has 120 divisors (see below), whose sum is σ = 1067324544. Its totient is φ = 117540864.

The previous prime is 361216511. The next prime is 361216579. The reversal of 361216512 is 215612163.

361216512 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×361216512² = 260954737082892288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (361216511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197233 + ... + 199055.

Almost surely, 2^361216512 is an apocalyptic number.

361216512 is a gapful number since it is divisible by the number (32) 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 361216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533662272).

361216512 is an abundant number, since it is smaller than the sum of its proper divisors (706108032).

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

361216512 is a wasteful number, since it uses less digits than its factorization.

361216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1871 counting only the distinct ones).

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

The square root of 361216512 is about 19005.6968301612. The cubic root of 361216512 is about 712.1790569314.

Adding to 361216512 its reverse (215612163), we get a palindrome (576828675).

The spelling of 361216512 in words is "three hundred sixty-one million, two hundred sixteen thousand, five hundred twelve".