361235156982912 has 384 divisors, whose sum is σ = 1087897994179200. Its totient is φ = 117972361543680.

The previous prime is 361235156982859. The next prime is 361235156982943. The reversal of 361235156982912 is 219289651532163.

361235156982912 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 3 + 51 + 569 + 8 + 2 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×361235156982912³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 361235156982912.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13924173013 + ... + 13924198955.

It is an arithmetic number, because the mean of its divisors is an integer number (2833067693175).

Almost surely, 2^{361235156982912} is an apocalyptic number.

361235156982912 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 361235156982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543948997089600).

361235156982912 is an abundant number, since it is smaller than the sum of its proper divisors (726662837196288).

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

361235156982912 is an equidigital number, since it uses as much as digits as its factorization.

361235156982912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26541 (or 26266 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 361235156982912 in words is "three hundred sixty-one trillion, two hundred thirty-five billion, one hundred fifty-six million, nine hundred eighty-two thousand, nine hundred twelve".