48243577781376 has 960 divisors, whose sum is σ = 154363126076280. Its totient is φ = 14951825178624.

The previous prime is 48243577781359. The next prime is 48243577781383. The reversal of 48243577781376 is 67318777534284.

It is a happy number.

48243577781376 is a `hidden beast` number, since 4 + 8 + 2 + 43 + 577 + 7 + 8 + 1 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19852157491776 + 28391420289600 = 4455576^2 + 5328360^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86613245290 + ... + 86613245846.

Almost surely, 2^{48243577781376} 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 48243577781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77181563038140).

48243577781376 is an abundant number, since it is smaller than the sum of its proper divisors (106119548294904).

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

48243577781376 is a wasteful number, since it uses less digits than its factorization.

48243577781376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 971 counting only the distinct ones).

The product of its digits is 1327656960, while the sum is 72.

The spelling of 48243577781376 in words is "forty-eight trillion, two hundred forty-three billion, five hundred seventy-seven million, seven hundred eighty-one thousand, three hundred seventy-six".