48749028480 has 384 divisors, whose sum is σ = 173825870400. Its totient is φ = 12582789120.

The previous prime is 48749028473. The next prime is 48749028481. The reversal of 48749028480 is 8482094784.

48749028480 is a `hidden beast` number, since 4 + 8 + 74 + 90 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×48749028480² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48749028481) 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, 22768210 + ... + 22770350.

Almost surely, 2^48749028480 is an apocalyptic number.

48749028480 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 48749028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86912935200).

48749028480 is an abundant number, since it is smaller than the sum of its proper divisors (125076841920).

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

48749028480 is a wasteful number, since it uses less digits than its factorization.

48749028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48749028480 in words is "forty-eight billion, seven hundred forty-nine million, twenty-eight thousand, four hundred eighty".