361988352000 has 1728 divisors, whose sum is σ = 1543072265280. Its totient is φ = 83939328000.

The previous prime is 361988351993. The next prime is 361988352049. The reversal of 361988352000 is 253889163.

It is a happy number.

361988352000 is a `hidden beast` number, since 3 + 619 + 8 + 8 + 3 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15738623989 + ... + 15738624011.

It is an arithmetic number, because the mean of its divisors is an integer number (892981635).

Almost surely, 2^361988352000 is an apocalyptic number.

361988352000 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 361988352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771536132640).

361988352000 is an abundant number, since it is smaller than the sum of its proper divisors (1181083913280).

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

361988352000 is an equidigital number, since it uses as much as digits as its factorization.

361988352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 361988352000 in words is "three hundred sixty-one billion, nine hundred eighty-eight million, three hundred fifty-two thousand".