29074899456 has 280 divisors, whose sum is σ = 88596861804. Its totient is φ = 9525288960.

The previous prime is 29074899437. The next prime is 29074899467. The reversal of 29074899456 is 65499847092.

29074899456 is a `hidden beast` number, since 2 + 90 + 7 + 4 + 8 + 99 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27662342400 + 1412557056 = 166320^2 + 37584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29074899393 and 29074899402.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22767490 + ... + 22768766.

Almost surely, 2^29074899456 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 29074899456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44298430902).

29074899456 is an abundant number, since it is smaller than the sum of its proper divisors (59521962348).

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

29074899456 is an frugal number, since it uses more digits than its factorization.

29074899456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 29074899456 in words is "twenty-nine billion, seventy-four million, eight hundred ninety-nine thousand, four hundred fifty-six".