1153116173664 has 1008 divisors, whose sum is σ = 4326502414752. Its totient is φ = 299670368256.

The previous prime is 1153116173659. The next prime is 1153116173687. The reversal of 1153116173664 is 4663716113511.

1153116173664 is a `hidden beast` number, since 1 + 1 + 531 + 16 + 17 + 36 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1084774797 + ... + 1084775859.

It is an arithmetic number, because the mean of its divisors is an integer number (4292165094).

Almost surely, 2^{1153116173664} is an apocalyptic number.

1153116173664 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 1153116173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163251207376).

1153116173664 is an abundant number, since it is smaller than the sum of its proper divisors (3173386241088).

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

1153116173664 is a wasteful number, since it uses less digits than its factorization.

1153116173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1161 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 1153116173664 in words is "one trillion, one hundred fifty-three billion, one hundred sixteen million, one hundred seventy-three thousand, six hundred sixty-four".