1149845760 has 576 divisors, whose sum is σ = 4807488000. Its totient is φ = 260112384.

The previous prime is 1149845717. The next prime is 1149845777. The reversal of 1149845760 is 675489411.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11854032 + ... + 11854128.

Almost surely, 2^1149845760 is an apocalyptic number.

1149845760 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 1149845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403744000).

1149845760 is an abundant number, since it is smaller than the sum of its proper divisors (3657642240).

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

1149845760 is an frugal number, since it uses more digits than its factorization.

1149845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1149845760 is about 33909.3756946364. The cubic root of 1149845760 is about 1047.6427117625.

1149845760 divided by its product of nonzero digits (241920) gives a triangular number (4753 = T₉₇).

The spelling of 1149845760 in words is "one billion, one hundred forty-nine million, eight hundred forty-five thousand, seven hundred sixty".