10444347648 has 324 divisors, whose sum is σ = 35550785088. Its totient is φ = 2939811840.

The previous prime is 10444347637. The next prime is 10444347653. The reversal of 10444347648 is 84674344401.

It is a happy number.

10444347648 is a `hidden beast` number, since 104 + 4 + 434 + 76 + 48 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8014965 + ... + 8016267.

Almost surely, 2^10444347648 is an apocalyptic number.

10444347648 is a gapful number since it is divisible by the number (18) 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 10444347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775392544).

10444347648 is an abundant number, since it is smaller than the sum of its proper divisors (25106437440).

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

10444347648 is a wasteful number, since it uses less digits than its factorization.

10444347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 10444347648 in words is "ten billion, four hundred forty-four million, three hundred forty-seven thousand, six hundred forty-eight".