48649896000 has 560 divisors, whose sum is σ = 181376086320. Its totient is φ = 12872908800.

The previous prime is 48649895999. The next prime is 48649896007. The reversal of 48649896000 is 69894684.

It can be written as a sum of positive squares in 8 ways, for example, as 28897280064 + 19752615936 = 169992^2 + 140544^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48649896007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125063806 + ... + 125064194.

Almost surely, 2^48649896000 is an apocalyptic number.

48649896000 is a gapful number since it is divisible by the number (40) 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 48649896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90688043160).

48649896000 is an abundant number, since it is smaller than the sum of its proper divisors (132726190320).

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

48649896000 is a wasteful number, since it uses less digits than its factorization.

48649896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48649896000 in words is "forty-eight billion, six hundred forty-nine million, eight hundred ninety-six thousand".