49429968200 has 108 divisors (see below), whose sum is σ = 116985686265. Its totient is φ = 19423609920.

The previous prime is 49429968191. The next prime is 49429968209. The reversal of 49429968200 is 286992494.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (49429968191) and next prime (49429968209).

It can be written as a sum of positive squares in 2 ways, for example, as 48441368836 + 988599364 = 220094^2 + 31442^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=157210.

It is a super-2 number, since 2×49429968200² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49429968209) 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, 248391701 + ... + 248391899.

Almost surely, 2^49429968200 is an apocalyptic number.

49429968200 is a gapful number since it is divisible by the number (40) 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 49429968200

49429968200 is an abundant number, since it is smaller than the sum of its proper divisors (67555718065).

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

49429968200 is an equidigital number, since it uses as much as digits as its factorization.

49429968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 49429968200 in words is "forty-nine billion, four hundred twenty-nine million, nine hundred sixty-eight thousand, two hundred".