1801961734144 has 288 divisors, whose sum is σ = 4272939288576. Its totient is φ = 749123665920.

The previous prime is 1801961734121. The next prime is 1801961734151. The reversal of 1801961734144 is 4414371691081.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380398214 + ... + 2380398970.

It is an arithmetic number, because the mean of its divisors is an integer number (14836594752).

Almost surely, 2^{1801961734144} 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 1801961734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136469644288).

1801961734144 is an abundant number, since it is smaller than the sum of its proper divisors (2470977554432).

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

1801961734144 is an equidigital number, since it uses as much as digits as its factorization.

1801961734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 1801961734144 in words is "one trillion, eight hundred one billion, nine hundred sixty-one million, seven hundred thirty-four thousand, one hundred forty-four".