1152646456544 has 192 divisors, whose sum is σ = 2812936896000. Its totient is φ = 458400983040.

The previous prime is 1152646456537. The next prime is 1152646456553. The reversal of 1152646456544 is 4456546462511.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4331702 + ... + 4590090.

It is an arithmetic number, because the mean of its divisors is an integer number (14650713000).

Almost surely, 2^{1152646456544} 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 1152646456544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406468448000).

1152646456544 is an abundant number, since it is smaller than the sum of its proper divisors (1660290439456).

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

1152646456544 is a wasteful number, since it uses less digits than its factorization.

1152646456544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258481 (or 258473 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 53.

The spelling of 1152646456544 in words is "one trillion, one hundred fifty-two billion, six hundred forty-six million, four hundred fifty-six thousand, five hundred forty-four".