29230995456 has 288 divisors, whose sum is σ = 93065852880. Its totient is φ = 8781889536.

The previous prime is 29230995427. The next prime is 29230995473. The reversal of 29230995456 is 65459903292.

It is a happy number.

29230995456 is a `hidden beast` number, since 2 + 9 + 2 + 3 + 0 + 99 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10302070 + ... + 10304906.

Almost surely, 2^29230995456 is an apocalyptic number.

29230995456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29230995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46532926440).

29230995456 is an abundant number, since it is smaller than the sum of its proper divisors (63834857424).

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

29230995456 is a wasteful number, since it uses less digits than its factorization.

29230995456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 29230995456 in words is "twenty-nine billion, two hundred thirty million, nine hundred ninety-five thousand, four hundred fifty-six".