1248734016 has 112 divisors (see below), whose sum is σ = 3770457280. Its totient is φ = 404974080.

The previous prime is 1248733999. The next prime is 1248734057. The reversal of 1248734016 is 6104378421.

1248734016 is a `hidden beast` number, since 1 + 248 + 7 + 3 + 401 + 6 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 54171 + ... + 73701.

Almost surely, 2^1248734016 is an apocalyptic number.

1248734016 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 1248734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885228640).

1248734016 is an abundant number, since it is smaller than the sum of its proper divisors (2521723264).

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

1248734016 is a wasteful number, since it uses less digits than its factorization.

1248734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19589 (or 19573 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1248734016 is about 35337.4308064409. The cubic root of 1248734016 is about 1076.8535581959.

The spelling of 1248734016 in words is "one billion, two hundred forty-eight million, seven hundred thirty-four thousand, sixteen".