29003452416 has 117 divisors (see below), whose sum is σ = 83872080331. Its totient is φ = 9656918016.

The previous prime is 29003452381. The next prime is 29003452427. The reversal of 29003452416 is 61425430092.

It is a happy number.

The square root of 29003452416 is 170304.

It is a perfect power (a square), and thus also a powerful number.

29003452416 is a `hidden beast` number, since 2 + 90 + 0 + 34 + 524 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32697925 + ... + 32698811.

Almost surely, 2^29003452416 is an apocalyptic number.

29003452416 is the 170304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29003452416

29003452416 is an abundant number, since it is smaller than the sum of its proper divisors (54868627915).

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

29003452416 is an frugal number, since it uses more digits than its factorization.

29003452416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 29003452416 by its sum of digits (36), we get a square (1044124286976 = 1021824²).

29003452416 divided by its sum of digits (36) gives a square (805651456 = 28384²).

The spelling of 29003452416 in words is "twenty-nine billion, three million, four hundred fifty-two thousand, four hundred sixteen".