10819345485312 has 1920 divisors, whose sum is σ = 41275903173120. Its totient is φ = 2772798013440.

The previous prime is 10819345485283. The next prime is 10819345485317. The reversal of 10819345485312 is 21358454391801.

10819345485312 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 9 + 34 + 548 + 53 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10819345485317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82590423487 + ... + 82590423617.

It is an arithmetic number, because the mean of its divisors is an integer number (21497866236).

Almost surely, 2^{10819345485312} is an apocalyptic number.

10819345485312 is a gapful number since it is divisible by the number (12) 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 10819345485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637951586560).

10819345485312 is an abundant number, since it is smaller than the sum of its proper divisors (30456557687808).

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

10819345485312 is a wasteful number, since it uses less digits than its factorization.

10819345485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 10819345485312 in words is "ten trillion, eight hundred nineteen billion, three hundred forty-five million, four hundred eighty-five thousand, three hundred twelve".