1153171512864 has 240 divisors, whose sum is σ = 3915901680768. Its totient is φ = 326080401408.

The previous prime is 1153171512863. The next prime is 1153171512907. The reversal of 1153171512864 is 4682151713511.

1153171512864 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 1 + 71 + 512 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (1153171512863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1432357 + ... + 2087579.

Almost surely, 2^{1153171512864} is an apocalyptic number.

1153171512864 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 1153171512864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957950840384).

1153171512864 is an abundant number, since it is smaller than the sum of its proper divisors (2762730167904).

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

1153171512864 is an equidigital number, since it uses as much as digits as its factorization.

1153171512864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655349 (or 655332 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 1153171512864 in words is "one trillion, one hundred fifty-three billion, one hundred seventy-one million, five hundred twelve thousand, eight hundred sixty-four".