38842273775448 has 512 divisors, whose sum is σ = 132955022592000. Its totient is φ = 10338697543680.

The previous prime is 38842273775447. The next prime is 38842273775489. The reversal of 38842273775448 is 84457737224883.

38842273775448 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 2 + 2 + 7 + 3 + 77 + 544 + 8 = 666.

It is a Cunningham number, because it is equal to 6232357²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38842273775447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136970188 + ... + 137253476.

It is an arithmetic number, because the mean of its divisors is an integer number (259677778500).

Almost surely, 2^{38842273775448} 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 38842273775448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66477511296000).

38842273775448 is an abundant number, since it is smaller than the sum of its proper divisors (94112748816552).

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

38842273775448 is a wasteful number, since it uses less digits than its factorization.

38842273775448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283544 (or 283534 counting only the distinct ones).

The product of its digits is 2023096320, while the sum is 72.

The spelling of 38842273775448 in words is "thirty-eight trillion, eight hundred forty-two billion, two hundred seventy-three million, seven hundred seventy-five thousand, four hundred forty-eight".