1148247936 has 384 divisors, whose sum is σ = 3869798400. Its totient is φ = 323481600.

The previous prime is 1148247913. The next prime is 1148248001. The reversal of 1148247936 is 6397428411.

1148247936 is a `hidden beast` number, since 1 + 148 + 2 + 479 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1148247891 and 1148247900.

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, 14534745 + ... + 14534823.

It is an arithmetic number, because the mean of its divisors is an integer number (10077600).

Almost surely, 2^1148247936 is an apocalyptic number.

1148247936 is a gapful number since it is divisible by the number (16) 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 1148247936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934899200).

1148247936 is an abundant number, since it is smaller than the sum of its proper divisors (2721550464).

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

1148247936 is a wasteful number, since it uses less digits than its factorization.

1148247936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1148247936 is about 33885.8072945002. The cubic root of 1148247936 is about 1047.1572192156.

It can be divided in two parts, 114824 and 7936, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1148247936 in words is "one billion, one hundred forty-eight million, two hundred forty-seven thousand, nine hundred thirty-six".