1153201644 has 96 divisors (see below), whose sum is σ = 3509327360. Its totient is φ = 320573376.

The previous prime is 1153201639. The next prime is 1153201657. The reversal of 1153201644 is 4461023511.

It is a happy number.

1153201644 is a `hidden beast` number, since 1 + 15 + 3 + 2 + 0 + 1 + 644 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7359 + ... + 48585.

Almost surely, 2^1153201644 is an apocalyptic number.

1153201644 is a gapful number since it is divisible by the number (14) 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 1153201644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754663680).

1153201644 is an abundant number, since it is smaller than the sum of its proper divisors (2356125716).

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

1153201644 is a wasteful number, since it uses less digits than its factorization.

1153201644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41284 (or 41276 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1153201644 is about 33958.8227711150. The cubic root of 1153201644 is about 1048.6609215535.

It can be divided in two parts, 115320 and 1644, that added together give a square (116964 = 342²).

The spelling of 1153201644 in words is "one billion, one hundred fifty-three million, two hundred one thousand, six hundred forty-four".