1814151274880 has 128 divisors (see below), whose sum is σ = 4958117559360. Its totient is φ = 621794304000.

The previous prime is 1814151274853. The next prime is 1814151274883. The reversal of 1814151274880 is 884721514181.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1814151274880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814151274883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14187230 + ... + 14314530.

Almost surely, 2^{1814151274880} is an apocalyptic number.

1814151274880 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 1814151274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479058779680).

1814151274880 is an abundant number, since it is smaller than the sum of its proper divisors (3143966284480).

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

1814151274880 is a wasteful number, since it uses less digits than its factorization.

1814151274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130508 (or 130496 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 50.

The spelling of 1814151274880 in words is "one trillion, eight hundred fourteen billion, one hundred fifty-one million, two hundred seventy-four thousand, eight hundred eighty".