29468396958 has 64 divisors (see below), whose sum is σ = 79131935232. Its totient is φ = 7065348480.

The previous prime is 29468396891. The next prime is 29468396999. The reversal of 29468396958 is 85969386492.

It is a junction number, because it is equal to n+sod(n) for n = 29468396892 and 29468396901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2447241 + ... + 2459252.

It is an arithmetic number, because the mean of its divisors is an integer number (1236436488).

Almost surely, 2^29468396958 is an apocalyptic number.

29468396958 is an abundant number, since it is smaller than the sum of its proper divisors (49663538274).

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

29468396958 is a wasteful number, since it uses less digits than its factorization.

29468396958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906529.

The product of its digits is 201553920, while the sum is 69.

It can be divided in two parts, 29468 and 396958, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 29468396958 in words is "twenty-nine billion, four hundred sixty-eight million, three hundred ninety-six thousand, nine hundred fifty-eight".