10363350564 has 144 divisors (see below), whose sum is σ = 31408715520. Its totient is φ = 2818448640.

The previous prime is 10363350563. The next prime is 10363350617. The reversal of 10363350564 is 46505336301.

10363350564 is a `hidden beast` number, since 1 + 0 + 3 + 63 + 35 + 0 + 564 = 666.

It is a super-3 number, since 3×10363350564³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10363350563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508882 + ... + 528854.

It is an arithmetic number, because the mean of its divisors is an integer number (218116080).

Almost surely, 2^10363350564 is an apocalyptic number.

10363350564 is a gapful number since it is divisible by the number (14) 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 10363350564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704357760).

10363350564 is an abundant number, since it is smaller than the sum of its proper divisors (21045364956).

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

10363350564 is a wasteful number, since it uses less digits than its factorization.

10363350564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20090 (or 20085 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 10363350564 its reverse (46505336301), we get a palindrome (56868686865).

The spelling of 10363350564 in words is "ten billion, three hundred sixty-three million, three hundred fifty thousand, five hundred sixty-four".