1149611904 has 192 divisors, whose sum is σ = 3883907040. Its totient is φ = 319500288.

The previous prime is 1149611899. The next prime is 1149611909. The reversal of 1149611904 is 4091169411.

It is an interprime number because it is at equal distance from previous prime (1149611899) and next prime (1149611909).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149611909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296442 + ... + 300294.

Almost surely, 2^1149611904 is an apocalyptic number.

1149611904 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 1149611904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941953520).

1149611904 is an abundant number, since it is smaller than the sum of its proper divisors (2734295136).

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

1149611904 is a wasteful number, since it uses less digits than its factorization.

1149611904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1149611904 is about 33905.9272694318. The cubic root of 1149611904 is about 1047.5716836433.

The spelling of 1149611904 in words is "one billion, one hundred forty-nine million, six hundred eleven thousand, nine hundred four".