1148729904 has 160 divisors (see below), whose sum is σ = 3898560000. Its totient is φ = 316866816.

The previous prime is 1148729819. The next prime is 1148729921. The reversal of 1148729904 is 4099278411.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1148729904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81147 + ... + 94245.

It is an arithmetic number, because the mean of its divisors is an integer number (24366000).

Almost surely, 2^1148729904 is an apocalyptic number.

1148729904 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 1148729904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949280000).

1148729904 is an abundant number, since it is smaller than the sum of its proper divisors (2749830096).

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

1148729904 is a wasteful number, since it uses less digits than its factorization.

1148729904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13152 (or 13140 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1148729904 is about 33892.9181983493. The cubic root of 1148729904 is about 1047.3037107113.

The spelling of 1148729904 in words is "one billion, one hundred forty-eight million, seven hundred twenty-nine thousand, nine hundred four".