1814198300928 has 360 divisors, whose sum is σ = 5833275536088. Its totient is φ = 557492502528.

The previous prime is 1814198300917. The next prime is 1814198300969. The reversal of 1814198300928 is 8290038914181.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31524712704 + 1782673588224 = 177552^2 + 1335168^2 .

It is a super-2 number, since 2×1814198300928² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231015850 + ... + 231023702.

Almost surely, 2^{1814198300928} is an apocalyptic number.

1814198300928 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 1814198300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916637768044).

1814198300928 is an abundant number, since it is smaller than the sum of its proper divisors (4019077235160).

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

1814198300928 is an equidigital number, since it uses as much as digits as its factorization.

1814198300928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1814198300928 in words is "one trillion, eight hundred fourteen billion, one hundred ninety-eight million, three hundred thousand, nine hundred twenty-eight".