1153411467264 has 1152 divisors, whose sum is σ = 4185548640000. Its totient is φ = 316816883712.

The previous prime is 1153411467251. The next prime is 1153411467269. The reversal of 1153411467264 is 4627641143511.

1153411467264 is a `hidden beast` number, since 1 + 1 + 5 + 341 + 1 + 46 + 7 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (483840) is a multiple of the sum of its prime factors (320).

It is not an unprimeable number, because it can be changed into a prime (1153411467269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4950263692 + ... + 4950263924.

It is an arithmetic number, because the mean of its divisors is an integer number (3633288750).

Almost surely, 2^{1153411467264} is an apocalyptic number.

1153411467264 is a gapful number since it is divisible by the number (14) 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 1153411467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092774320000).

1153411467264 is an abundant number, since it is smaller than the sum of its proper divisors (3032137172736).

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

1153411467264 is an frugal number, since it uses more digits than its factorization.

1153411467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 274 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 1153411467264 in words is "one trillion, one hundred fifty-three billion, four hundred eleven million, four hundred sixty-seven thousand, two hundred sixty-four".