29472458507904 has 128 divisors (see below), whose sum is σ = 79189712239680. Its totient is φ = 9711020113920.

The previous prime is 29472458507857. The next prime is 29472458507911. The reversal of 29472458507904 is 40970585427492.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30098727 + ... + 31062489.

Almost surely, 2^{29472458507904} is an apocalyptic number.

29472458507904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29472458507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39594856119840).

29472458507904 is an abundant number, since it is smaller than the sum of its proper divisors (49717253731776).

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

29472458507904 is an equidigital number, since it uses as much as digits as its factorization.

29472458507904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964698 (or 964686 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 29472458507904 in words is "twenty-nine trillion, four hundred seventy-two billion, four hundred fifty-eight million, five hundred seven thousand, nine hundred four".