10801463385024 has 672 divisors, whose sum is σ = 37193218171200. Its totient is φ = 2965838561280.

The previous prime is 10801463385017. The next prime is 10801463385029. The reversal of 10801463385024 is 42058336410801.

10801463385024 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 1 + 4 + 633 + 8 + 5 + 0 + 2 + 4 = 666.

10801463385024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10801463385024² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10801463385029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169129482 + ... + 169193334.

It is an arithmetic number, because the mean of its divisors is an integer number (55347050850).

Almost surely, 2^{10801463385024} 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 10801463385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18596609085600).

10801463385024 is an abundant number, since it is smaller than the sum of its proper divisors (26391754786176).

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

10801463385024 is a wasteful number, since it uses less digits than its factorization.

10801463385024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63973 (or 63960 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 10801463385024 its reverse (42058336410801), we get a palindrome (52859799795825).

The spelling of 10801463385024 in words is "ten trillion, eight hundred one billion, four hundred sixty-three million, three hundred eighty-five thousand, twenty-four".