10481351111424 has 1152 divisors, whose sum is σ = 34811707392000. Its totient is φ = 3095653220352.

The previous prime is 10481351111423. The next prime is 10481351111431. The reversal of 10481351111424 is 42411115318401.

10481351111424 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 1 + 3 + 511 + 114 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10481351111424² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10481351111423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34141208679 + ... + 34141208985.

It is an arithmetic number, because the mean of its divisors is an integer number (30218496000).

Almost surely, 2^{10481351111424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10481351111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17405853696000).

10481351111424 is an abundant number, since it is smaller than the sum of its proper divisors (24330356280576).

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

10481351111424 is a wasteful number, since it uses less digits than its factorization.

10481351111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 10481351111424 its reverse (42411115318401), we get a palindrome (52892466429825).

The spelling of 10481351111424 in words is "ten trillion, four hundred eighty-one billion, three hundred fifty-one million, one hundred eleven thousand, four hundred twenty-four".