29494149120 has 408 divisors, whose sum is σ = 104402770056. Its totient is φ = 7700742144.

The previous prime is 29494149109. The next prime is 29494149149. The reversal of 29494149120 is 2194149492.

It is a happy number.

29494149120 is a `hidden beast` number, since 2 + 9 + 494 + 149 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4464377856 + 25029771264 = 66816^2 + 158208^2 .

It is a super-3 number, since 3×29494149120³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 215285692 + ... + 215285828.

Almost surely, 2^29494149120 is an apocalyptic number.

29494149120 is a gapful number since it is divisible by the number (20) 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 29494149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52201385028).

29494149120 is an abundant number, since it is smaller than the sum of its proper divisors (74908620936).

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

29494149120 is an equidigital number, since it uses as much as digits as its factorization.

29494149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 29494149120 in words is "twenty-nine billion, four hundred ninety-four million, one hundred forty-nine thousand, one hundred twenty".