10000338722388 has 384 divisors, whose sum is σ = 32754651955200. Its totient is φ = 2570913202176.

The previous prime is 10000338722369. The next prime is 10000338722417. The reversal of 10000338722388 is 88322783300001.

10000338722388 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 338 + 7 + 223 + 88 = 666.

It is a super-2 number, since 2×10000338722388² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 652372708 + ... + 652388036.

It is an arithmetic number, because the mean of its divisors is an integer number (85298572800).

Almost surely, 2^{10000338722388} is an apocalyptic number.

10000338722388 is a gapful number since it is divisible by the number (18) 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 10000338722388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377325977600).

10000338722388 is an abundant number, since it is smaller than the sum of its proper divisors (22754313232812).

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

10000338722388 is a wasteful number, since it uses less digits than its factorization.

10000338722388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17596 (or 17588 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10000338722388 in words is "ten trillion, three hundred thirty-eight million, seven hundred twenty-two thousand, three hundred eighty-eight".