361488866097600 has 504 divisors, whose sum is σ = 1289052973699920. Its totient is φ = 96079519088640.

The previous prime is 361488866097581. The next prime is 361488866097613. The reversal of 361488866097600 is 6790668884163.

361488866097600 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 8 + 8 + 8 + 6 + 6 + 0 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9114906571 + ... + 9114946229.

Almost surely, 2^{361488866097600} is an apocalyptic number.

361488866097600 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 361488866097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644526486849960).

361488866097600 is an abundant number, since it is smaller than the sum of its proper divisors (927564107602320).

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

361488866097600 is a wasteful number, since it uses less digits than its factorization.

361488866097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41757 (or 41739 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 361488866097600 in words is "three hundred sixty-one trillion, four hundred eighty-eight billion, eight hundred sixty-six million, ninety-seven thousand, six hundred".