48454541770752 has 1288 divisors, whose sum is σ = 166357753750944. Its totient is φ = 13991795490816.

The previous prime is 48454541770751. The next prime is 48454541770763. The reversal of 48454541770752 is 25707714545484.

48454541770752 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 454 + 177 + 0 + 7 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48454541770752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48454541770751) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 914236637158 + ... + 914236637210.

Almost surely, 2^{48454541770752} 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 48454541770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83178876875472).

48454541770752 is an abundant number, since it is smaller than the sum of its proper divisors (117903211980192).

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

48454541770752 is an frugal number, since it uses more digits than its factorization.

48454541770752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 175616000, while the sum is 63.

The spelling of 48454541770752 in words is "forty-eight trillion, four hundred fifty-four billion, five hundred forty-one million, seven hundred seventy thousand, seven hundred fifty-two".