29002289030136 has 320 divisors, whose sum is σ = 85887916106400. Its totient is φ = 9067938206400.

The previous prime is 29002289030101. The next prime is 29002289030147. The reversal of 29002289030136 is 63103098220092.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

29002289030136 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 228 + 90 + 301 + 36 = 666.

It is a super-2 number, since 2×29002289030136² (a number of 28 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 29002289030136 = 3838³ + 30704³ = 17271³ + 28785³.

It is a junction number, because it is equal to n+sod(n) for n = 29002289030091 and 29002289030100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 287151376486 + ... + 287151376586.

Almost surely, 2^{29002289030136} 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 29002289030136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42943958053200).

29002289030136 is an abundant number, since it is smaller than the sum of its proper divisors (56885627076264).

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

29002289030136 is an frugal number, since it uses more digits than its factorization.

29002289030136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 29002289030136 in words is "twenty-nine trillion, two billion, two hundred eighty-nine million, thirty thousand, one hundred thirty-six".