361638001666368 has 336 divisors, whose sum is σ = 1254209694491520. Its totient is φ = 97321153646592.

The previous prime is 361638001666313. The next prime is 361638001666393. The reversal of 361638001666368 is 863666100836163.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×361638001666368² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 390255 + ... + 26896622.

Almost surely, 2^{361638001666368} is an apocalyptic number.

361638001666368 is a gapful number since it is divisible by the number (38) 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 361638001666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627104847245760).

361638001666368 is an abundant number, since it is smaller than the sum of its proper divisors (892571692825152).

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

361638001666368 is a wasteful number, since it uses less digits than its factorization.

361638001666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27287094 (or 27287081 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 361638001666368 in words is "three hundred sixty-one trillion, six hundred thirty-eight billion, one million, six hundred sixty-six thousand, three hundred sixty-eight".