1812744880128 has 960 divisors, whose sum is σ = 6752623360000. Its totient is φ = 477566337024.

The previous prime is 1812744880127. The next prime is 1812744880171. The reversal of 1812744880128 is 8210884472181.

1812744880128 is a `hidden beast` number, since 1 + 81 + 2 + 74 + 488 + 0 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1812744880127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972518453 + ... + 1972519371.

Almost surely, 2^{1812744880128} is an apocalyptic number.

1812744880128 is a gapful number since it is divisible by the number (18) 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 1812744880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376311680000).

1812744880128 is an abundant number, since it is smaller than the sum of its proper divisors (4939878479872).

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

1812744880128 is an frugal number, since it uses more digits than its factorization.

1812744880128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 1812744880128 in words is "one trillion, eight hundred twelve billion, seven hundred forty-four million, eight hundred eighty thousand, one hundred twenty-eight".