29937180934143 has 144 divisors (see below), whose sum is σ = 53082679104000. Its totient is φ = 16166074296960.

The previous prime is 29937180934139. The next prime is 29937180934183. The reversal of 29937180934143 is 34143908173992.

29937180934143 is a `hidden beast` number, since 2 + 9 + 9 + 37 + 180 + 9 + 3 + 414 + 3 = 666.

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

It is not a de Polignac number, because 29937180934143 - 2² = 29937180934139 is a prime.

It is a super-2 number, since 2×29937180934143² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29937180934123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7654608358 + ... + 7654612268.

It is an arithmetic number, because the mean of its divisors is an integer number (368629716000).

Almost surely, 2^{29937180934143} is an apocalyptic number.

29937180934143 is a deficient number, since it is larger than the sum of its proper divisors (23145498169857).

29937180934143 is a wasteful number, since it uses less digits than its factorization.

29937180934143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 29937180934143 in words is "twenty-nine trillion, nine hundred thirty-seven billion, one hundred eighty million, nine hundred thirty-four thousand, one hundred forty-three".