48403111680 has 1728 divisors, whose sum is σ = 226276098048. Its totient is φ = 9614868480.

The previous prime is 48403111661. The next prime is 48403111697. The reversal of 48403111680 is 8611130484.

It is a happy number.

48403111680 is a `hidden beast` number, since 484 + 0 + 3 + 11 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×48403111680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1029853417 + ... + 1029853463.

It is an arithmetic number, because the mean of its divisors is an integer number (130946816).

Almost surely, 2^48403111680 is an apocalyptic number.

48403111680 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 48403111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113138049024).

48403111680 is an abundant number, since it is smaller than the sum of its proper divisors (177872986368).

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

48403111680 is a wasteful number, since it uses less digits than its factorization.

48403111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 48403111680 in words is "forty-eight billion, four hundred three million, one hundred eleven thousand, six hundred eighty".