10644481512 has 320 divisors, whose sum is σ = 35783320320. Its totient is φ = 2890432512.

The previous prime is 10644481499. The next prime is 10644481513. The reversal of 10644481512 is 21518444601.

10644481512 is a `hidden beast` number, since 1 + 0 + 64 + 4 + 4 + 81 + 512 = 666.

It is a super-2 number, since 2×10644481512² (a number of 21 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 (10644481513) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26812098 + ... + 26812494.

It is an arithmetic number, because the mean of its divisors is an integer number (111822876).

Almost surely, 2^10644481512 is an apocalyptic number.

10644481512 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 10644481512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891660160).

10644481512 is an abundant number, since it is smaller than the sum of its proper divisors (25138838808).

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

10644481512 is a wasteful number, since it uses less digits than its factorization.

10644481512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10644481512 in words is "ten billion, six hundred forty-four million, four hundred eighty-one thousand, five hundred twelve".