1816506531840 has 1728 divisors, whose sum is σ = 7958007171072. Its totient is φ = 343513497600.

The previous prime is 1816506531811. The next prime is 1816506531871. The reversal of 1816506531840 is 481356056181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1816506531840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25584599005 + ... + 25584599075.

It is an arithmetic number, because the mean of its divisors is an integer number (4605328224).

Almost surely, 2^{1816506531840} is an apocalyptic number.

1816506531840 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 1816506531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979003585536).

1816506531840 is an abundant number, since it is smaller than the sum of its proper divisors (6141500639232).

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

1816506531840 is an equidigital number, since it uses as much as digits as its factorization.

1816506531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 1816506531840 in words is "one trillion, eight hundred sixteen billion, five hundred six million, five hundred thirty-one thousand, eight hundred forty".