360144817227936 has 672 divisors, whose sum is σ = 1160044414341120. Its totient is φ = 109343897395200.

The previous prime is 360144817227913. The next prime is 360144817227941. The reversal of 360144817227936 is 639722718441063.

360144817227936 is a `hidden beast` number, since 3 + 6 + 0 + 14 + 481 + 72 + 2 + 79 + 3 + 6 = 666.

It is a super-2 number, since 2×360144817227936² (a number of 30 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 50575030456 + ... + 50575037576.

It is an arithmetic number, because the mean of its divisors is an integer number (1726256568960).

Almost surely, 2^{360144817227936} is an apocalyptic number.

360144817227936 is a gapful number since it is divisible by the number (36) 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 360144817227936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580022207170560).

360144817227936 is an abundant number, since it is smaller than the sum of its proper divisors (799899597113184).

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

360144817227936 is a wasteful number, since it uses less digits than its factorization.

360144817227936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9352 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 360144817227936 in words is "three hundred sixty trillion, one hundred forty-four billion, eight hundred seventeen million, two hundred twenty-seven thousand, nine hundred thirty-six".