29286161424 has 135 divisors (see below), whose sum is σ = 88831186743. Its totient is φ = 9002912256.

The previous prime is 29286161419. The next prime is 29286161503. The reversal of 29286161424 is 42416168292.

It is a happy number.

The square root of 29286161424 is 171132.

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

29286161424 is a `hidden beast` number, since 2 + 9 + 2 + 8 + 6 + 1 + 614 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9708555024 + 19577606400 = 98532^2 + 139920^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29286161424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26696044 + ... + 26697140.

Almost surely, 2^29286161424 is an apocalyptic number.

29286161424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29286161424 is the 171132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29286161424

29286161424 is an abundant number, since it is smaller than the sum of its proper divisors (59545025319).

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

29286161424 is a wasteful number, since it uses less digits than its factorization.

29286161424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 1115 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 29286161424 in words is "twenty-nine billion, two hundred eighty-six million, one hundred sixty-one thousand, four hundred twenty-four".