29734470144 has 200 divisors, whose sum is σ = 89017306620. Its totient is φ = 9881616384.

The previous prime is 29734470137. The next prime is 29734470149. The reversal of 29734470144 is 44107443792.

29734470144 is a `hidden beast` number, since 2 + 9 + 7 + 34 + 470 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29611526400 + 122943744 = 172080^2 + 11088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29734470144.

It is not an unprimeable number, because it can be changed into a prime (29734470149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16961172 + ... + 16962924.

Almost surely, 2^29734470144 is an apocalyptic number.

29734470144 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 29734470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44508653310).

29734470144 is an abundant number, since it is smaller than the sum of its proper divisors (59282836476).

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

29734470144 is an equidigital number, since it uses as much as digits as its factorization.

29734470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 29734470144 in words is "twenty-nine billion, seven hundred thirty-four million, four hundred seventy thousand, one hundred forty-four".