48671400960 has 1408 divisors, whose sum is σ = 219873346560. Its totient is φ = 9937354752.

The previous prime is 48671400929. The next prime is 48671400971. The reversal of 48671400960 is 6900417684.

48671400960 is a `hidden beast` number, since 486 + 71 + 40 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 666731484 + ... + 666731556.

Almost surely, 2^48671400960 is an apocalyptic number.

48671400960 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 48671400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109936673280).

48671400960 is an abundant number, since it is smaller than the sum of its proper divisors (171201945600).

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

48671400960 is a wasteful number, since it uses less digits than its factorization.

48671400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48671400960 in words is "forty-eight billion, six hundred seventy-one million, four hundred thousand, nine hundred sixty".