1152033201504 has 192 divisors, whose sum is σ = 3570890158080. Its totient is φ = 360087275520.

The previous prime is 1152033201503. The next prime is 1152033201533. The reversal of 1152033201504 is 4051023302511.

1152033201504 is a `hidden beast` number, since 1 + 152 + 0 + 3 + 3 + 2 + 0 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152033201503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3835737 + ... + 4125159.

It is an arithmetic number, because the mean of its divisors is an integer number (18598386240).

Almost surely, 2^{1152033201504} 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 1152033201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785445079040).

1152033201504 is an abundant number, since it is smaller than the sum of its proper divisors (2418856956576).

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

1152033201504 is a wasteful number, since it uses less digits than its factorization.

1152033201504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289730 (or 289716 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1152033201504 in words is "one trillion, one hundred fifty-two billion, thirty-three million, two hundred one thousand, five hundred four".