29877468201 has 27 divisors (see below), whose sum is σ = 50208376413. Its totient is φ = 17070764760.

The previous prime is 29877468107. The next prime is 29877468241. The reversal of 29877468201 is 10286477892.

It is a happy number.

The square root of 29877468201 is 172851.

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

29877468201 is a `hidden beast` number, since 2 + 98 + 77 + 468 + 20 + 1 = 666.

It is not a de Polignac number, because 29877468201 - 2¹⁷ = 29877337129 is a prime.

It is a super-2 number, since 2×29877468201² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29877468241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3625756 + ... + 3633986.

Almost surely, 2^29877468201 is an apocalyptic number.

29877468201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

29877468201 is the 172851-st square number.

29877468201 is the 86426-th centered octagonal number.

It is an amenable number.

29877468201 is a deficient number, since it is larger than the sum of its proper divisors (20330908212).

29877468201 is an frugal number, since it uses more digits than its factorization.

29877468201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16482 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 29877468201 in words is "twenty-nine billion, eight hundred seventy-seven million, four hundred sixty-eight thousand, two hundred one".