1011366048 has 288 divisors, whose sum is σ = 3502517760. Its totient is φ = 248209920.

The previous prime is 1011366043. The next prime is 1011366071. The reversal of 1011366048 is 8406631101.

It is a super-2 number, since 2×1011366048² = 2045722566094276608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011366043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2668323 + ... + 2668701.

It is an arithmetic number, because the mean of its divisors is an integer number (12161520).

Almost surely, 2^1011366048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011366048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751258880).

1011366048 is an abundant number, since it is smaller than the sum of its proper divisors (2491151712).

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

1011366048 is a wasteful number, since it uses less digits than its factorization.

1011366048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1011366048 is about 31801.9818250373. The cubic root of 1011366048 is about 1003.7744185078.

Adding to 1011366048 its reverse (8406631101), we get a palindrome (9417997149).

The spelling of 1011366048 in words is "one billion, eleven million, three hundred sixty-six thousand, forty-eight".