29452419072 has 150 divisors (see below), whose sum is σ = 87994926558. Its totient is φ = 9817030656.

The previous prime is 29452419067. The next prime is 29452419079. The reversal of 29452419072 is 27091425492.

29452419072 is a `hidden beast` number, since 2 + 9 + 452 + 4 + 190 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29068886016 + 383533056 = 170496^2 + 19584^2 .

It is not an unprimeable number, because it can be changed into a prime (29452419079) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1316008 + ... + 1338200.

Almost surely, 2^29452419072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29452419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43997463279).

29452419072 is an abundant number, since it is smaller than the sum of its proper divisors (58542507486).

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

29452419072 is an frugal number, since it uses more digits than its factorization.

29452419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22233 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 29452419072 in words is "twenty-nine billion, four hundred fifty-two million, four hundred nineteen thousand, seventy-two".