1848736319040 has 672 divisors, whose sum is σ = 7099162392960. Its totient is φ = 452693090304.

The previous prime is 1848736318951. The next prime is 1848736319041. The reversal of 1848736319040 is 409136378481.

1848736319040 is a `hidden beast` number, since 1 + 8 + 487 + 3 + 6 + 31 + 90 + 40 = 666.

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 (1848736319041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 287648307 + ... + 287654733.

Almost surely, 2^{1848736319040} is an apocalyptic number.

1848736319040 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 1848736319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549581196480).

1848736319040 is an abundant number, since it is smaller than the sum of its proper divisors (5250426073920).

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

1848736319040 is a wasteful number, since it uses less digits than its factorization.

1848736319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1848736319040 in words is "one trillion, eight hundred forty-eight billion, seven hundred thirty-six million, three hundred nineteen thousand, forty".