361001113200 has 2880 divisors, whose sum is σ = 1776392970240. Its totient is φ = 67682304000.

The previous prime is 361001113189. The next prime is 361001113211. The reversal of 361001113200 is 2311100163.

It is an interprime number because it is at equal distance from previous prime (361001113189) and next prime (361001113211).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8804905180 + ... + 8804905220.

Almost surely, 2^361001113200 is an apocalyptic number.

361001113200 is a gapful number since it is divisible by the number (30) 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 361001113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888196485120).

361001113200 is an abundant number, since it is smaller than the sum of its proper divisors (1415391857040).

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

361001113200 is a wasteful number, since it uses less digits than its factorization.

361001113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 361001113200 its reverse (2311100163), we get a palindrome (363312213363).

The spelling of 361001113200 in words is "three hundred sixty-one billion, one million, one hundred thirteen thousand, two hundred".