1164528144000 has 1024 divisors, whose sum is σ = 4769017344000. Its totient is φ = 277364736000.

The previous prime is 1164528143963. The next prime is 1164528144001. The reversal of 1164528144000 is 4418254611.

1164528144000 is a `hidden beast` number, since 1 + 1 + 645 + 2 + 8 + 1 + 4 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1164528144000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1164528144001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174092656 + ... + 174099344.

It is an arithmetic number, because the mean of its divisors is an integer number (4657243500).

Almost surely, 2^{1164528144000} is an apocalyptic number.

1164528144000 is a gapful number since it is divisible by the number (10) 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 1164528144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384508672000).

1164528144000 is an abundant number, since it is smaller than the sum of its proper divisors (3604489200000).

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

1164528144000 is a wasteful number, since it uses less digits than its factorization.

1164528144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1164528144000 in words is "one trillion, one hundred sixty-four billion, five hundred twenty-eight million, one hundred forty-four thousand".