29465095716 has 243 divisors, whose sum is σ = 89419372497. Its totient is φ = 8156998080.

The previous prime is 29465095697. The next prime is 29465095717. The reversal of 29465095716 is 61759056492.

The square root of 29465095716 is 171654.

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

29465095716 is a `hidden beast` number, since 2 + 9 + 4 + 65 + 0 + 9 + 571 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 958150116 + 28506945600 = 30954^2 + 168840^2 .

It is not an unprimeable number, because it can be changed into a prime (29465095717) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 439777515 + ... + 439777581.

Almost surely, 2^29465095716 is an apocalyptic number.

29465095716 is the 171654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29465095716

29465095716 is an abundant number, since it is smaller than the sum of its proper divisors (59954276781).

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

29465095716 is a wasteful number, since it uses less digits than its factorization.

29465095716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 29465095716 in words is "twenty-nine billion, four hundred sixty-five million, ninety-five thousand, seven hundred sixteen".