1801011010032 has 240 divisors, whose sum is σ = 5494338298176. Its totient is φ = 547430400000.

The previous prime is 1801011010031. The next prime is 1801011010037. The reversal of 1801011010032 is 2300101101081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1801011009987 and 1801011010014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801011010031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51146032 + ... + 51181232.

Almost surely, 2^{1801011010032} is an apocalyptic number.

1801011010032 is a gapful number since it is divisible by the number (12) 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 1801011010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747169149088).

1801011010032 is an abundant number, since it is smaller than the sum of its proper divisors (3693327288144).

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

1801011010032 is a wasteful number, since it uses less digits than its factorization.

1801011010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35560 (or 35551 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The spelling of 1801011010032 in words is "one trillion, eight hundred one billion, eleven million, ten thousand, thirty-two".