10224385387104 has 768 divisors, whose sum is σ = 32802599337984. Its totient is φ = 2727696384000.

The previous prime is 10224385387087. The next prime is 10224385387157. The reversal of 10224385387104 is 40178358342201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 19549493787 + ... + 19549494309.

It is an arithmetic number, because the mean of its divisors is an integer number (42711717888).

Almost surely, 2^{10224385387104} is an apocalyptic number.

10224385387104 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 10224385387104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401299668992).

10224385387104 is an abundant number, since it is smaller than the sum of its proper divisors (22578213950880).

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

10224385387104 is a wasteful number, since it uses less digits than its factorization.

10224385387104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 10224385387104 in words is "ten trillion, two hundred twenty-four billion, three hundred eighty-five million, three hundred eighty-seven thousand, one hundred four".