361267200000 has 1026 divisors, whose sum is σ = 1517467981302. Its totient is φ = 82575360000.

The previous prime is 361267199981. The next prime is 361267200011. The reversal of 361267200000 is 2762163.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 166934347776 + 194332852224 = 408576^2 + 440832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 51609599997 + ... + 51609600003.

It is an arithmetic number, because the mean of its divisors is an integer number (1479013627).

Almost surely, 2^361267200000 is an apocalyptic number.

361267200000 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 361267200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758733990651).

361267200000 is an abundant number, since it is smaller than the sum of its proper divisors (1156200781302).

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

361267200000 is an frugal number, since it uses more digits than its factorization.

361267200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 361267200000 its reverse (2762163), we get a palindrome (361269962163).

The spelling of 361267200000 in words is "three hundred sixty-one billion, two hundred sixty-seven million, two hundred thousand".