1152007066144 has 96 divisors (see below), whose sum is σ = 2541609596736. Its totient is φ = 509378411520.

The previous prime is 1152007066141. The next prime is 1152007066151. The reversal of 1152007066144 is 4416607002511.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (1152007066141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112352922 + ... + 112363174.

It is an arithmetic number, because the mean of its divisors is an integer number (26475099966).

Almost surely, 2^{1152007066144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152007066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270804798368).

1152007066144 is an abundant number, since it is smaller than the sum of its proper divisors (1389602530592).

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

1152007066144 is a wasteful number, since it uses less digits than its factorization.

1152007066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18938 (or 18930 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 1152007066144 in words is "one trillion, one hundred fifty-two billion, seven million, sixty-six thousand, one hundred forty-four".