10448884656 has 300 divisors, whose sum is σ = 36138514368. Its totient is φ = 2904056064.

The previous prime is 10448884637. The next prime is 10448884657. The reversal of 10448884656 is 65648884401.

It is a happy number.

10448884656 is a `hidden beast` number, since 104 + 488 + 8 + 4 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10448884657) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2347425 + ... + 2351871.

Almost surely, 2^10448884656 is an apocalyptic number.

10448884656 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 10448884656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18069257184).

10448884656 is an abundant number, since it is smaller than the sum of its proper divisors (25689629712).

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

10448884656 is a wasteful number, since it uses less digits than its factorization.

10448884656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 10448884656 in words is "ten billion, four hundred forty-eight million, eight hundred eighty-four thousand, six hundred fifty-six".