48919659524736 has 3072 divisors, whose sum is σ = 191272108769280. Its totient is φ = 10959556608000.

The previous prime is 48919659524657. The next prime is 48919659524777. The reversal of 48919659524736 is 63742595691984.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 373432515391 + ... + 373432515521.

It is an arithmetic number, because the mean of its divisors is an integer number (62263056240).

Almost surely, 2^{48919659524736} 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 48919659524736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95636054384640).

48919659524736 is an abundant number, since it is smaller than the sum of its proper divisors (142352449244544).

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

48919659524736 is a wasteful number, since it uses less digits than its factorization.

48919659524736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 235 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 78.

The spelling of 48919659524736 in words is "forty-eight trillion, nine hundred nineteen billion, six hundred fifty-nine million, five hundred twenty-four thousand, seven hundred thirty-six".