361501908768 has 1344 divisors, whose sum is σ = 1455941475072. Its totient is φ = 85279703040.

The previous prime is 361501908767. The next prime is 361501908773. The reversal of 361501908768 is 867809105163.

361501908768 is a `hidden beast` number, since 3 + 61 + 501 + 9 + 0 + 8 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (361501908767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2638699996 + ... + 2638700132.

It is an arithmetic number, because the mean of its divisors is an integer number (1083289788).

Almost surely, 2^361501908768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361501908768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727970737536).

361501908768 is an abundant number, since it is smaller than the sum of its proper divisors (1094439566304).

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

361501908768 is a wasteful number, since it uses less digits than its factorization.

361501908768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 361501908768 in words is "three hundred sixty-one billion, five hundred one million, nine hundred eight thousand, seven hundred sixty-eight".