10346556868480 has 256 divisors, whose sum is σ = 28879714805760. Its totient is φ = 3470713159680.

The previous prime is 10346556868469. The next prime is 10346556868523. The reversal of 10346556868480 is 8486865564301.

It is a happy number.

10346556868480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777170304 + ... + 777183616.

It is an arithmetic number, because the mean of its divisors is an integer number (112811385960).

Almost surely, 2^{10346556868480} is an apocalyptic number.

10346556868480 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 10346556868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439857402880).

10346556868480 is an abundant number, since it is smaller than the sum of its proper divisors (18533157937280).

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

10346556868480 is a wasteful number, since it uses less digits than its factorization.

10346556868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17077 (or 17065 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 64.

The spelling of 10346556868480 in words is "ten trillion, three hundred forty-six billion, five hundred fifty-six million, eight hundred sixty-eight thousand, four hundred eighty".