1838146798080 has 1280 divisors, whose sum is σ = 7328005977600. Its totient is φ = 434016092160.

The previous prime is 1838146798051. The next prime is 1838146798109. The reversal of 1838146798080 is 808976418381.

1838146798080 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 1 + 467 + 98 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1838146798051) and next prime (1838146798109).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a junction number, because it is equal to n+sod(n) for n = 1838146797999 and 1838146798017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6273538414 + ... + 6273538706.

It is an arithmetic number, because the mean of its divisors is an integer number (5725004670).

Almost surely, 2^{1838146798080} is an apocalyptic number.

1838146798080 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 1838146798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664002988800).

1838146798080 is an abundant number, since it is smaller than the sum of its proper divisors (5489859179520).

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

1838146798080 is a wasteful number, since it uses less digits than its factorization.

1838146798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 1838146798080 in words is "one trillion, eight hundred thirty-eight billion, one hundred forty-six million, seven hundred ninety-eight thousand, eighty".