10348328612160 has 3780 divisors, whose sum is σ = 50213566759356. Its totient is φ = 2015127797760.

The previous prime is 10348328612159. The next prime is 10348328612161. The reversal of 10348328612160 is 6121682384301.

10348328612160 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 8 + 3 + 28 + 612 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10348328612159) and next prime (10348328612161).

It can be written as a sum of positive squares in 6 ways, for example, as 44382691584 + 10303945920576 = 210672^2 + 3209976^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348328612161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 44413427404 + ... + 44413427636.

Almost surely, 2^{10348328612160} is an apocalyptic number.

10348328612160 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 10348328612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25106783379678).

10348328612160 is an abundant number, since it is smaller than the sum of its proper divisors (39865238147196).

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

10348328612160 is a wasteful number, since it uses less digits than its factorization.

10348328612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10348328612160 in words is "ten trillion, three hundred forty-eight billion, three hundred twenty-eight million, six hundred twelve thousand, one hundred sixty".