10191223839104 has 512 divisors, whose sum is σ = 26139469824000. Its totient is φ = 3843508838400.

The previous prime is 10191223839089. The next prime is 10191223839113. The reversal of 10191223839104 is 40193832219101.

It is a super-2 number, since 2×10191223839104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12323123939 + ... + 12323124765.

It is an arithmetic number, because the mean of its divisors is an integer number (51053652000).

Almost surely, 2^{10191223839104} is an apocalyptic number.

10191223839104 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 10191223839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069734912000).

10191223839104 is an abundant number, since it is smaller than the sum of its proper divisors (15948245984896).

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

10191223839104 is a wasteful number, since it uses less digits than its factorization.

10191223839104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 10191223839104 in words is "ten trillion, one hundred ninety-one billion, two hundred twenty-three million, eight hundred thirty-nine thousand, one hundred four".