1801518000156 has 288 divisors, whose sum is σ = 5935611322368. Its totient is φ = 448430653440.

The previous prime is 1801518000151. The next prime is 1801518000157. The reversal of 1801518000156 is 6510008151081.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1801518000156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801518000151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2759596 + ... + 3349388.

It is an arithmetic number, because the mean of its divisors is an integer number (20609761536).

Almost surely, 2^{1801518000156} 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 1801518000156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967805661184).

1801518000156 is an abundant number, since it is smaller than the sum of its proper divisors (4134093322212).

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

1801518000156 is a wasteful number, since it uses less digits than its factorization.

1801518000156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589881 (or 589876 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The spelling of 1801518000156 in words is "one trillion, eight hundred one billion, five hundred eighteen million, one hundred fifty-six", and thus it is an aban number.