360101037808512 has 4608 divisors, whose sum is σ = 1610162012160000. Its totient is φ = 74468052172800.

The previous prime is 360101037808483. The next prime is 360101037808513. The reversal of 360101037808512 is 215808730101063.

It is a happy number.

360101037808512 is a `hidden beast` number, since 3 + 6 + 0 + 10 + 10 + 37 + 80 + 8 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360101037808513) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 150104641489 + ... + 150104643887.

It is an arithmetic number, because the mean of its divisors is an integer number (349427520000).

Almost surely, 2^{360101037808512} is an apocalyptic number.

360101037808512 is a gapful number since it is divisible by the number (32) 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 360101037808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805081006080000).

360101037808512 is an abundant number, since it is smaller than the sum of its proper divisors (1250060974351488).

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

360101037808512 is a wasteful number, since it uses less digits than its factorization.

360101037808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 360101037808512 its reverse (215808730101063), we get a palindrome (575909767909575).

The spelling of 360101037808512 in words is "three hundred sixty trillion, one hundred one billion, thirty-seven million, eight hundred eight thousand, five hundred twelve".