1054116648 has 96 divisors (see below), whose sum is σ = 3087924840. Its totient is φ = 322928640.

The previous prime is 1054116641. The next prime is 1054116659. The reversal of 1054116648 is 8466114501.

1054116648 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 1 + 6 + 648 = 666.

1054116648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1025408484 + 28708164 = 32022^2 + 5358^2 .

It is a super-2 number, since 2×1054116648² = 2222323815181511808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1054116641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223240 + ... + 227912.

Almost surely, 2^1054116648 is an apocalyptic number.

1054116648 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 1054116648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543962420).

1054116648 is an abundant number, since it is smaller than the sum of its proper divisors (2033808192).

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

1054116648 is a wasteful number, since it uses less digits than its factorization.

1054116648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1054116648 is about 32467.1626108596. The cubic root of 1054116648 is about 1017.7229249939.

The spelling of 1054116648 in words is "one billion, fifty-four million, one hundred sixteen thousand, six hundred forty-eight".