1149729984 has 336 divisors, whose sum is σ = 3807805440. Its totient is φ = 339655680.

The previous prime is 1149729967. The next prime is 1149730031. The reversal of 1149729984 is 4899279411.

It is a super-2 number, since 2×1149729984² = 2643758072217280512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1149729984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9052929 + ... + 9053055.

Almost surely, 2^1149729984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903902720).

1149729984 is an abundant number, since it is smaller than the sum of its proper divisors (2658075456).

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

1149729984 is a wasteful number, since it uses less digits than its factorization.

1149729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 176 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1149729984 is about 33907.6685131844. The cubic root of 1149729984 is about 1047.6075487989.

The spelling of 1149729984 in words is "one billion, one hundred forty-nine million, seven hundred twenty-nine thousand, nine hundred eighty-four".