49646888200 has 288 divisors, whose sum is σ = 145469829960. Its totient is φ = 15618355200.

The previous prime is 49646888183. The next prime is 49646888219. The reversal of 49646888200 is 288864694.

49646888200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13111624036 + 36535264164 = 114506^2 + 191142^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23058324 + ... + 23060476.

Almost surely, 2^49646888200 is an apocalyptic number.

49646888200 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 49646888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72734914980).

49646888200 is an abundant number, since it is smaller than the sum of its proper divisors (95822941760).

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

49646888200 is a wasteful number, since it uses less digits than its factorization.

49646888200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 49646888200 in words is "forty-nine billion, six hundred forty-six million, eight hundred eighty-eight thousand, two hundred".