29945050464 has 48 divisors (see below), whose sum is σ = 89835153408. Its totient is φ = 8555728512.

The previous prime is 29945050433. The next prime is 29945050547. The reversal of 29945050464 is 46405054992.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 22279872 + ... + 22281215.

It is an arithmetic number, because the mean of its divisors is an integer number (1871565696).

Almost surely, 2^29945050464 is an apocalyptic number.

29945050464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29945050464 is an abundant number, since it is smaller than the sum of its proper divisors (59890102944).

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

29945050464 is a wasteful number, since it uses less digits than its factorization.

29945050464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44561107 (or 44561099 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 29945050464 in words is "twenty-nine billion, nine hundred forty-five million, fifty thousand, four hundred sixty-four".