48365221905 has 864 divisors, whose sum is σ = 131220311040. Its totient is φ = 16812956160.

The previous prime is 48365221903. The next prime is 48365221907. The reversal of 48365221905 is 50912256384.

48365221905 is a `hidden beast` number, since 4 + 8 + 36 + 522 + 1 + 90 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (48365221903) and next prime (48365221907).

It is not a de Polignac number, because 48365221905 - 2¹ = 48365221903 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48365221903) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2102835724 + ... + 2102835746.

It is an arithmetic number, because the mean of its divisors is an integer number (151875360).

Almost surely, 2^48365221905 is an apocalyptic number.

48365221905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48365221905 is an abundant number, since it is smaller than the sum of its proper divisors (82855089135).

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

48365221905 is a wasteful number, since it uses less digits than its factorization.

48365221905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 48365221905 in words is "forty-eight billion, three hundred sixty-five million, two hundred twenty-one thousand, nine hundred five".