29835023380456 has 32 divisors (see below), whose sum is σ = 64398851317440. Its totient is φ = 12693106919808.

The previous prime is 29835023380451. The next prime is 29835023380511. The reversal of 29835023380456 is 65408332053892.

It is a super-2 number, since 2×29835023380456² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29835023380456.

It is not an unprimeable number, because it can be changed into a prime (29835023380451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1944402090 + ... + 1944417433.

It is an arithmetic number, because the mean of its divisors is an integer number (2012464103670).

Almost surely, 2^{29835023380456} is an apocalyptic number.

It is an amenable number.

29835023380456 is an abundant number, since it is smaller than the sum of its proper divisors (34563827936984).

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

29835023380456 is a wasteful number, since it uses less digits than its factorization.

29835023380456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888819673 (or 3888819669 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 58.

The spelling of 29835023380456 in words is "twenty-nine trillion, eight hundred thirty-five billion, twenty-three million, three hundred eighty thousand, four hundred fifty-six".