30705266048 has 64 divisors (see below), whose sum is σ = 62946011520. Its totient is φ = 14910443520.

The previous prime is 30705266029. The next prime is 30705266069. The reversal of 30705266048 is 84066250703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 30705265996 and 30705266014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157186 + ... + 1183422.

It is an arithmetic number, because the mean of its divisors is an integer number (983531430).

Almost surely, 2^30705266048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30705266048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31473005760).

30705266048 is an abundant number, since it is smaller than the sum of its proper divisors (32240745472).

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

30705266048 is a wasteful number, since it uses less digits than its factorization.

30705266048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26515 (or 26503 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 30705266048 in words is "thirty billion, seven hundred five million, two hundred sixty-six thousand, forty-eight".