48374131981824 has 240 divisors, whose sum is σ = 152409442586544. Its totient is φ = 14648576409600.

The previous prime is 48374131981793. The next prime is 48374131981843. The reversal of 48374131981824 is 42818913147384.

48374131981824 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 413 + 198 + 1 + 8 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72302914 + ... + 72968894.

Almost surely, 2^{48374131981824} is an apocalyptic number.

48374131981824 is a gapful number since it is divisible by the number (44) 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 48374131981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204721293272).

48374131981824 is an abundant number, since it is smaller than the sum of its proper divisors (104035310604720).

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

48374131981824 is a wasteful number, since it uses less digits than its factorization.

48374131981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667449 (or 667430 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 48374131981824 in words is "forty-eight trillion, three hundred seventy-four billion, one hundred thirty-one million, nine hundred eighty-one thousand, eight hundred twenty-four".