363791128801 has 27 divisors (see below), whose sum is σ = 382204011513. Its totient is φ = 346256926080.

The previous prime is 363791128751. The next prime is 363791128853. The reversal of 363791128801 is 108821197363.

It is a happy number.

The square root of 363791128801 is 603151.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 331758720225 + 32032408576 = 575985^2 + 178976^2 .

It is not a de Polignac number, because 363791128801 - 2²¹ = 363789031649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363791128871) 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 26 ways as a sum of consecutive naturals, for example, 1162271821 + ... + 1162272133.

Almost surely, 2^363791128801 is an apocalyptic number.

363791128801 is the 603151-st square number.

363791128801 is the 301576-th centered octagonal number.

It is an amenable number.

363791128801 is a deficient number, since it is larger than the sum of its proper divisors (18412882712).

363791128801 is an frugal number, since it uses more digits than its factorization.

363791128801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 363791128801 by its sum of digits (49), we get a square (17825765311249 = 4222057²).

The spelling of 363791128801 in words is "three hundred sixty-three billion, seven hundred ninety-one million, one hundred twenty-eight thousand, eight hundred one".