1144903680 has 384 divisors, whose sum is σ = 4210315200. Its totient is φ = 294912000.

The previous prime is 1144903667. The next prime is 1144903699. The reversal of 1144903680 is 863094411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11335630 + ... + 11335730.

Almost surely, 2^1144903680 is an apocalyptic number.

1144903680 is a gapful number since it is divisible by the number (10) 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 1144903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105157600).

1144903680 is an abundant number, since it is smaller than the sum of its proper divisors (3065411520).

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

1144903680 is a wasteful number, since it uses less digits than its factorization.

1144903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1144903680 is about 33836.4253431121. The cubic root of 1144903680 is about 1046.1396204258.

The spelling of 1144903680 in words is "one billion, one hundred forty-four million, nine hundred three thousand, six hundred eighty".