48044937600000 has 2376 divisors, whose sum is σ = 202056864439248. Its totient is φ = 10948608000000.

The previous prime is 48044937599987. The next prime is 48044937600007. The reversal of 48044937600000 is 673944084.

48044937600000 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 4 + 9 + 37 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48044937600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 59241599595 + ... + 59241600405.

Almost surely, 2^{48044937600000} is an apocalyptic number.

48044937600000 is a gapful number since it is divisible by the number (40) 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 48044937600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101028432219624).

48044937600000 is an abundant number, since it is smaller than the sum of its proper divisors (154011926839248).

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

48044937600000 is a wasteful number, since it uses less digits than its factorization.

48044937600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 48044937600000 in words is "forty-eight trillion, forty-four billion, nine hundred thirty-seven million, six hundred thousand".