10229046944480 has 192 divisors, whose sum is σ = 29747069493120. Its totient is φ = 3236873232384.

The previous prime is 10229046944471. The next prime is 10229046944483. The reversal of 10229046944480 is 8444964092201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229046944483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113362742 + ... + 113452938.

It is an arithmetic number, because the mean of its divisors is an integer number (154932653610).

Almost surely, 2^{10229046944480} is an apocalyptic number.

10229046944480 is a gapful number since it is divisible by the number (10) 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 10229046944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873534746560).

10229046944480 is an abundant number, since it is smaller than the sum of its proper divisors (19518022548640).

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

10229046944480 is a wasteful number, since it uses less digits than its factorization.

10229046944480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98021 (or 98013 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 10229046944480 in words is "ten trillion, two hundred twenty-nine billion, forty-six million, nine hundred forty-four thousand, four hundred eighty".