29401901211904 has 243 divisors, whose sum is σ = 64363005418509. Its totient is φ = 13398848686080.

The previous prime is 29401901211889. The next prime is 29401901211953. The reversal of 29401901211904 is 40911210910492.

The square root of 29401901211904 is 5422352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4349393670400 + 25052507541504 = 2085520^2 + 5005248^2 .

It is a super-2 number, since 2×29401901211904² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147748247197 + ... + 147748247395.

Almost surely, 2^{29401901211904} is an apocalyptic number.

29401901211904 is the 5422352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29401901211904

29401901211904 is an abundant number, since it is smaller than the sum of its proper divisors (34961104206605).

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

29401901211904 is an frugal number, since it uses more digits than its factorization.

29401901211904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 29401901211904 in words is "twenty-nine trillion, four hundred one billion, nine hundred one million, two hundred eleven thousand, nine hundred four".