29494972416 has 312 divisors, whose sum is σ = 97371986880. Its totient is φ = 7775059968.

The previous prime is 29494972387. The next prime is 29494972417. The reversal of 29494972416 is 61427949492.

It is a tau number, because it is divible by the number of its divisors (312).

It is not an unprimeable number, because it can be changed into a prime (29494972417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14535690 + ... + 14537718.

Almost surely, 2^29494972416 is an apocalyptic number.

29494972416 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 29494972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48685993440).

29494972416 is an abundant number, since it is smaller than the sum of its proper divisors (67877014464).

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

29494972416 is a wasteful number, since it uses less digits than its factorization.

29494972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2054 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 29494972416 in words is "twenty-nine billion, four hundred ninety-four million, nine hundred seventy-two thousand, four hundred sixteen".