1838504086272 has 720 divisors, whose sum is σ = 6422034769920. Its totient is φ = 512287358976.

The previous prime is 1838504086267. The next prime is 1838504086277. The reversal of 1838504086272 is 2726804058381.

1838504086272 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 5 + 0 + 4 + 0 + 8 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1838504086267) and next prime (1838504086277).

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

It is not an unprimeable number, because it can be changed into a prime (1838504086277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1173262833 + ... + 1173264399.

It is an arithmetic number, because the mean of its divisors is an integer number (8919492736).

Almost surely, 2^{1838504086272} is an apocalyptic number.

1838504086272 is a gapful number since it is divisible by the number (12) 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 1838504086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211017384960).

1838504086272 is an abundant number, since it is smaller than the sum of its proper divisors (4583530683648).

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

1838504086272 is a wasteful number, since it uses less digits than its factorization.

1838504086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1838504086272 in words is "one trillion, eight hundred thirty-eight billion, five hundred four million, eighty-six thousand, two hundred seventy-two".