10220014009344 has 176 divisors, whose sum is σ = 28936830876800. Its totient is φ = 3197761929216.

The previous prime is 10220014009321. The next prime is 10220014009351. The reversal of 10220014009344 is 44390041002201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5558919 + ... + 7165305.

It is an arithmetic number, because the mean of its divisors is an integer number (164413811800).

Almost surely, 2^{10220014009344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220014009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468415438400).

10220014009344 is an abundant number, since it is smaller than the sum of its proper divisors (18716816867456).

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

10220014009344 is a wasteful number, since it uses less digits than its factorization.

10220014009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606538 (or 1606520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10220014009344 in words is "ten trillion, two hundred twenty billion, fourteen million, nine thousand, three hundred forty-four".