1036143648 has 144 divisors (see below), whose sum is σ = 3007368000. Its totient is φ = 338342400.

The previous prime is 1036143643. The next prime is 1036143649. The reversal of 1036143648 is 8463416301.

It is a happy number.

1036143648 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 1 + 4 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1036143648³ (a number of 28 digits) contains 333 as substring.

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 (1036143643) 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, 5206653 + ... + 5206851.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 2^1036143648 is an apocalyptic number.

1036143648 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 1036143648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503684000).

1036143648 is an abundant number, since it is smaller than the sum of its proper divisors (1971224352).

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

1036143648 is a wasteful number, since it uses less digits than its factorization.

1036143648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1036143648 is about 32189.1852646195. The cubic root of 1036143648 is about 1011.9055773840.

Adding to 1036143648 its reverse (8463416301), we get a palindrome (9499559949).

The spelling of 1036143648 in words is "one billion, thirty-six million, one hundred forty-three thousand, six hundred forty-eight".