1148787334016 has 768 divisors, whose sum is σ = 3080390860800. Its totient is φ = 415773388800.

The previous prime is 1148787334003. The next prime is 1148787334021. The reversal of 1148787334016 is 6104337878411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16180103261 + ... + 16180103331.

It is an arithmetic number, because the mean of its divisors is an integer number (4010925600).

Almost surely, 2^{1148787334016} is an apocalyptic number.

1148787334016 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 1148787334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540195430400).

1148787334016 is an abundant number, since it is smaller than the sum of its proper divisors (1931603526784).

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

1148787334016 is a wasteful number, since it uses less digits than its factorization.

1148787334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The spelling of 1148787334016 in words is "one trillion, one hundred forty-eight billion, seven hundred eighty-seven million, three hundred thirty-four thousand, sixteen".