1153462468104 has 192 divisors, whose sum is σ = 3260027010240. Its totient is φ = 382075626240.

The previous prime is 1153462468099. The next prime is 1153462468159. The reversal of 1153462468104 is 4018642643511.

1153462468104 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 4 + 624 + 6 + 8 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1153462468104.

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 47 ways as a sum of consecutive naturals, for example, 494410522 + ... + 494412854.

It is an arithmetic number, because the mean of its divisors is an integer number (16979307345).

Almost surely, 2^{1153462468104} 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 1153462468104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630013505120).

1153462468104 is an abundant number, since it is smaller than the sum of its proper divisors (2106564542136).

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

1153462468104 is a wasteful number, since it uses less digits than its factorization.

1153462468104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1153462468104 in words is "one trillion, one hundred fifty-three billion, four hundred sixty-two million, four hundred sixty-eight thousand, one hundred four".