48978433487984 has 320 divisors, whose sum is σ = 129632071016448. Its totient is φ = 17310372019200.

The previous prime is 48978433487969. The next prime is 48978433487989.

48978433487984 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48978433487896 and 48978433487905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48978433487989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215990567 + ... + 216217209.

Almost surely, 2^{48978433487984} is an apocalyptic number.

48978433487984 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 48978433487984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64816035508224).

48978433487984 is an abundant number, since it is smaller than the sum of its proper divisors (80653637528464).

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

48978433487984 is a wasteful number, since it uses less digits than its factorization.

48978433487984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226916 (or 226910 counting only the distinct ones).

The product of its digits is 37456183296, while the sum is 86.

The spelling of 48978433487984 in words is "forty-eight trillion, nine hundred seventy-eight billion, four hundred thirty-three million, four hundred eighty-seven thousand, nine hundred eighty-four".