29937180934145 has 32 divisors (see below), whose sum is σ = 38101007403936. Its totient is φ = 22503510016000.

The previous prime is 29937180934139. The next prime is 29937180934183. The reversal of 29937180934145 is 54143908173992.

It is a Cunningham number, because it is equal to 5471488²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 5321621514496 + 24615559419649 = 2306864^2 + 4961407^2 .

It is not a de Polignac number, because 29937180934145 - 2⁶ = 29937180934081 is a prime.

It is a Duffinian number.

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, 333773705 + ... + 333863385.

It is an arithmetic number, because the mean of its divisors is an integer number (1190656481373).

Almost surely, 2^{29937180934145} is an apocalyptic number.

It is an amenable number.

29937180934145 is a deficient number, since it is larger than the sum of its proper divisors (8163826469791).

29937180934145 is a wasteful number, since it uses less digits than its factorization.

29937180934145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96181.

The product of its (nonzero) digits is 58786560, while the sum is 65.

The spelling of 29937180934145 in words is "twenty-nine trillion, nine hundred thirty-seven billion, one hundred eighty million, nine hundred thirty-four thousand, one hundred forty-five".