1023111648 has 288 divisors, whose sum is σ = 3371004000. Its totient is φ = 303077376.

The previous prime is 1023111647. The next prime is 1023111659. The reversal of 1023111648 is 8461113201.

It is a happy number.

1023111648 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 11 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023111643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2931378 + ... + 2931726.

It is an arithmetic number, because the mean of its divisors is an integer number (11704875).

Almost surely, 2^1023111648 is an apocalyptic number.

1023111648 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 1023111648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685502000).

1023111648 is an abundant number, since it is smaller than the sum of its proper divisors (2347892352).

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

1023111648 is a wasteful number, since it uses less digits than its factorization.

1023111648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1023111648 is about 31986.1164882516. The cubic root of 1023111648 is about 1007.6452833526.

Adding to 1023111648 its reverse (8461113201), we get a palindrome (9484224849).

The spelling of 1023111648 in words is "one billion, twenty-three million, one hundred eleven thousand, six hundred forty-eight".