29979459846144 has 720 divisors, whose sum is σ = 92732524215408. Its totient is φ = 9645859012608.

The previous prime is 29979459846131. The next prime is 29979459846163. The reversal of 29979459846144 is 44164895497992.

29979459846144 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 9 + 4 + 598 + 4 + 6 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44282805934 + ... + 44282806610.

Almost surely, 2^{29979459846144} is an apocalyptic number.

29979459846144 is a gapful number since it is divisible by the number (24) 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 29979459846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46366262107704).

29979459846144 is an abundant number, since it is smaller than the sum of its proper divisors (62753064369264).

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

29979459846144 is an frugal number, since it uses more digits than its factorization.

29979459846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 822 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 29979459846144 in words is "twenty-nine trillion, nine hundred seventy-nine billion, four hundred fifty-nine million, eight hundred forty-six thousand, one hundred forty-four".