1153613874816 has 1024 divisors, whose sum is σ = 3983749862400. Its totient is φ = 325830574080.

The previous prime is 1153613874811. The next prime is 1153613874817. The reversal of 1153613874816 is 6184783163511.

1153613874816 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 613 + 8 + 7 + 4 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1153613874811) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3092798406 + ... + 3092798778.

It is an arithmetic number, because the mean of its divisors is an integer number (3890380725).

Almost surely, 2^{1153613874816} is an apocalyptic number.

1153613874816 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 1153613874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991874931200).

1153613874816 is an abundant number, since it is smaller than the sum of its proper divisors (2830135987584).

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

1153613874816 is a wasteful number, since it uses less digits than its factorization.

1153613874816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 528 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 1153613874816 in words is "one trillion, one hundred fifty-three billion, six hundred thirteen million, eight hundred seventy-four thousand, eight hundred sixteen".