1152458160768 has 512 divisors, whose sum is σ = 3709601280000. Its totient is φ = 355400027136.

The previous prime is 1152458160701. The next prime is 1152458160769. The reversal of 1152458160768 is 8670618542511.

1152458160768 is a `hidden beast` number, since 1 + 1 + 5 + 24 + 5 + 8 + 1 + 607 + 6 + 8 = 666.

It is a super-2 number, since 2×1152458160768² (a number of 25 digits) contains 22 as substring.

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 (1152458160769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228705193 + ... + 228710231.

It is an arithmetic number, because the mean of its divisors is an integer number (7245315000).

Almost surely, 2^{1152458160768} is an apocalyptic number.

1152458160768 is a gapful number since it is divisible by the number (18) 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 1152458160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854800640000).

1152458160768 is an abundant number, since it is smaller than the sum of its proper divisors (2557143119232).

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

1152458160768 is an frugal number, since it uses more digits than its factorization.

1152458160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1152458160768 in words is "one trillion, one hundred fifty-two billion, four hundred fifty-eight million, one hundred sixty thousand, seven hundred sixty-eight".