1143760464 has 240 divisors, whose sum is σ = 4129557120. Its totient is φ = 286755840.

The previous prime is 1143760451. The next prime is 1143760481. The reversal of 1143760464 is 4640673411.

1143760464 is a `hidden beast` number, since 1 + 1 + 43 + 7 + 604 + 6 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 319774 + ... + 323330.

It is an arithmetic number, because the mean of its divisors is an integer number (17206488).

Almost surely, 2^1143760464 is an apocalyptic number.

1143760464 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 1143760464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064778560).

1143760464 is an abundant number, since it is smaller than the sum of its proper divisors (2985796656).

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

1143760464 is a wasteful number, since it uses less digits than its factorization.

1143760464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1143760464 is about 33819.5278500455. The cubic root of 1143760464 is about 1045.7913052907.

The spelling of 1143760464 in words is "one billion, one hundred forty-three million, seven hundred sixty thousand, four hundred sixty-four".