29743969372128 has 384 divisors, whose sum is σ = 100273580951040. Its totient is φ = 8477488373760.

The previous prime is 29743969372109. The next prime is 29743969372153. The reversal of 29743969372128 is 82127396934792.

29743969372128 is a `hidden beast` number, since 2 + 9 + 7 + 43 + 96 + 9 + 372 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246007626 + ... + 246128502.

It is an arithmetic number, because the mean of its divisors is an integer number (261129117060).

Almost surely, 2^{29743969372128} 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 29743969372128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50136790475520).

29743969372128 is an abundant number, since it is smaller than the sum of its proper divisors (70529611578912).

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

29743969372128 is a wasteful number, since it uses less digits than its factorization.

29743969372128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122447 (or 122433 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 29743969372128 in words is "twenty-nine trillion, seven hundred forty-three billion, nine hundred sixty-nine million, three hundred seventy-two thousand, one hundred twenty-eight".