1838198922624 has 384 divisors, whose sum is σ = 5667217920000. Its totient is φ = 570483302400.

The previous prime is 1838198922619. The next prime is 1838198922667. The reversal of 1838198922624 is 4262298918381.

1838198922624 is a `hidden beast` number, since 1 + 8 + 381 + 9 + 8 + 9 + 226 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542079969 + ... + 542083359.

It is an arithmetic number, because the mean of its divisors is an integer number (14758380000).

Almost surely, 2^{1838198922624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1838198922624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833608960000).

1838198922624 is an abundant number, since it is smaller than the sum of its proper divisors (3829018997376).

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

1838198922624 is a wasteful number, since it uses less digits than its factorization.

1838198922624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3959 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 1838198922624 in words is "one trillion, eight hundred thirty-eight billion, one hundred ninety-eight million, nine hundred twenty-two thousand, six hundred twenty-four".