29379145190399 has 32 divisors (see below), whose sum is σ = 31448734869888. Its totient is φ = 27377540608000.

The previous prime is 29379145190387. The next prime is 29379145190419. The reversal of 29379145190399 is 99309154197392.

It is a cyclic number.

It is not a de Polignac number, because 29379145190399 - 2¹⁶ = 29379145124863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29379145190309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4189237217 + ... + 4189244229.

It is an arithmetic number, because the mean of its divisors is an integer number (982772964684).

Almost surely, 2^{29379145190399} is an apocalyptic number.

29379145190399 is a deficient number, since it is larger than the sum of its proper divisors (2069589679489).

29379145190399 is a wasteful number, since it uses less digits than its factorization.

29379145190399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739.

The product of its (nonzero) digits is 148803480, while the sum is 71.

The spelling of 29379145190399 in words is "twenty-nine trillion, three hundred seventy-nine billion, one hundred forty-five million, one hundred ninety thousand, three hundred ninety-nine".