10481572413312 has 2304 divisors, whose sum is σ = 41796937163520. Its totient is φ = 2278584483840.

The previous prime is 10481572413311. The next prime is 10481572413383. The reversal of 10481572413312 is 21331427518401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10481572413311) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 143583183708 + ... + 143583183780.

It is an arithmetic number, because the mean of its divisors is an integer number (18141031755).

Almost surely, 2^{10481572413312} is an apocalyptic number.

10481572413312 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 10481572413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20898468581760).

10481572413312 is an abundant number, since it is smaller than the sum of its proper divisors (31315364750208).

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

10481572413312 is a wasteful number, since it uses less digits than its factorization.

10481572413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10481572413312 in words is "ten trillion, four hundred eighty-one billion, five hundred seventy-two million, four hundred thirteen thousand, three hundred twelve".