361008381253632 has 288 divisors, whose sum is σ = 1123410728185200. Its totient is φ = 102793195094016.

The previous prime is 361008381253603. The next prime is 361008381253669. The reversal of 361008381253632 is 236352183800163.

It is a super-3 number, since 3×361008381253632³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86163094 + ... + 90255722.

Almost surely, 2^{361008381253632} is an apocalyptic number.

361008381253632 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 361008381253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561705364092600).

361008381253632 is an abundant number, since it is smaller than the sum of its proper divisors (762402346931568).

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

361008381253632 is a wasteful number, since it uses less digits than its factorization.

361008381253632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092961 (or 4092934 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 361008381253632 in words is "three hundred sixty-one trillion, eight billion, three hundred eighty-one million, two hundred fifty-three thousand, six hundred thirty-two".