1144663632 has 240 divisors, whose sum is σ = 3867252480. Its totient is φ = 308994048.

The previous prime is 1144663613. The next prime is 1144663649. The reversal of 1144663632 is 2363664411.

1144663632 is a `hidden beast` number, since 1 + 14 + 4 + 6 + 6 + 3 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2248594 + ... + 2249102.

It is an arithmetic number, because the mean of its divisors is an integer number (16113552).

Almost surely, 2^1144663632 is an apocalyptic number.

1144663632 is a gapful number since it is divisible by the number (12) 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 1144663632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933626240).

1144663632 is an abundant number, since it is smaller than the sum of its proper divisors (2722588848).

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

1144663632 is a wasteful number, since it uses less digits than its factorization.

1144663632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 641 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 1144663632 is about 33832.8779739472. The cubic root of 1144663632 is about 1046.0665018218.

It can be divided in two parts, 11446 and 63632, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 1144663632 in words is "one billion, one hundred forty-four million, six hundred sixty-three thousand, six hundred thirty-two".