29927148345 has 24 divisors (see below), whose sum is σ = 51901159752. Its totient is φ = 15952704000.

The previous prime is 29927148343. The next prime is 29927148371. The reversal of 29927148345 is 54384172992.

29927148345 is a `hidden beast` number, since 2 + 9 + 92 + 71 + 483 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18558864 + 29908589481 = 4308^2 + 172941^2 .

It is not a de Polignac number, because 29927148345 - 2¹ = 29927148343 is a prime.

It is a super-3 number, since 3×29927148345³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29927148291 and 29927148300.

It is not an unprimeable number, because it can be changed into a prime (29927148343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89376 + ... + 260465.

It is an arithmetic number, because the mean of its divisors is an integer number (2162548323).

Almost surely, 2^29927148345 is an apocalyptic number.

It is an amenable number.

29927148345 is a deficient number, since it is larger than the sum of its proper divisors (21974011407).

29927148345 is a wasteful number, since it uses less digits than its factorization.

29927148345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351753 (or 351750 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 29927148345 in words is "twenty-nine billion, nine hundred twenty-seven million, one hundred forty-eight thousand, three hundred forty-five".