1836232130880 has 1680 divisors, whose sum is σ = 7824114934416. Its totient is φ = 407447470080.

The previous prime is 1836232130879. The next prime is 1836232130893. The reversal of 1836232130880 is 880312326381.

1836232130880 is a `hidden beast` number, since 1 + 8 + 3 + 623 + 2 + 13 + 0 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14509647936 + 1821722482944 = 120456^2 + 1349712^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×1836232130880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10614058474 + ... + 10614058646.

Almost surely, 2^{1836232130880} is an apocalyptic number.

1836232130880 is a gapful number since it is divisible by the number (10) 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 1836232130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912057467208).

1836232130880 is an abundant number, since it is smaller than the sum of its proper divisors (5987882803536).

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

1836232130880 is a wasteful number, since it uses less digits than its factorization.

1836232130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1836232130880 in words is "one trillion, eight hundred thirty-six billion, two hundred thirty-two million, one hundred thirty thousand, eight hundred eighty".