1148224616064 has 640 divisors, whose sum is σ = 3634685429760. Its totient is φ = 359251200000.

The previous prime is 1148224616059. The next prime is 1148224616101. The reversal of 1148224616064 is 4606164228411.

1148224616064 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 2 + 24 + 616 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3468956379 + ... + 3468956709.

It is an arithmetic number, because the mean of its divisors is an integer number (5679195984).

Almost surely, 2^{1148224616064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148224616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817342714880).

1148224616064 is an abundant number, since it is smaller than the sum of its proper divisors (2486460813696).

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

1148224616064 is a wasteful number, since it uses less digits than its factorization.

1148224616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1148224616064 in words is "one trillion, one hundred forty-eight billion, two hundred twenty-four million, six hundred sixteen thousand, sixty-four".