10481534976 has 288 divisors, whose sum is σ = 32102965440. Its totient is φ = 3033169920.

The previous prime is 10481534969. The next prime is 10481535017. The reversal of 10481534976 is 67943518401.

It is a super-2 number, since 2×10481534976² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17098446 + ... + 17099058.

It is an arithmetic number, because the mean of its divisors is an integer number (111468630).

Almost surely, 2^10481534976 is an apocalyptic number.

10481534976 is a gapful number since it is divisible by the number (16) 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 10481534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051482720).

10481534976 is an abundant number, since it is smaller than the sum of its proper divisors (21621430464).

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

10481534976 is a wasteful number, since it uses less digits than its factorization.

10481534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 10481534976 in words is "ten billion, four hundred eighty-one million, five hundred thirty-four thousand, nine hundred seventy-six".