49512123648 has 432 divisors, whose sum is σ = 161719317760. Its totient is φ = 14464106496.

The previous prime is 49512123643. The next prime is 49512123659. The reversal of 49512123648 is 84632121594.

49512123648 is a `hidden beast` number, since 4 + 9 + 512 + 123 + 6 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49512123641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47653113 + ... + 47654151.

Almost surely, 2^49512123648 is an apocalyptic number.

49512123648 is a gapful number since it is divisible by the number (48) 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 49512123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80859658880).

49512123648 is an abundant number, since it is smaller than the sum of its proper divisors (112207194112).

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

49512123648 is a wasteful number, since it uses less digits than its factorization.

49512123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1137 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 49512123648 in words is "forty-nine billion, five hundred twelve million, one hundred twenty-three thousand, six hundred forty-eight".