48554311680 has 672 divisors, whose sum is σ = 201326496000. Its totient is φ = 11098128384.

The previous prime is 48554311679. The next prime is 48554311697. The reversal of 48554311680 is 8611345584.

48554311680 is a `hidden beast` number, since 4 + 8 + 55 + 431 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×48554311680³ (a number of 33 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6936330237 + ... + 6936330243.

It is an arithmetic number, because the mean of its divisors is an integer number (299593000).

Almost surely, 2^48554311680 is an apocalyptic number.

48554311680 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 48554311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663248000).

48554311680 is an abundant number, since it is smaller than the sum of its proper divisors (152772184320).

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

48554311680 is an frugal number, since it uses more digits than its factorization.

48554311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 48554311680 in words is "forty-eight billion, five hundred fifty-four million, three hundred eleven thousand, six hundred eighty".