49106023200 has 1152 divisors, whose sum is σ = 206626775040. Its totient is φ = 11287019520.

The previous prime is 49106023193. The next prime is 49106023231. The reversal of 49106023200 is 232060194.

49106023200 is a `hidden beast` number, since 49 + 10 + 602 + 3 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×49106023200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 386661537 + ... + 386661663.

It is an arithmetic number, because the mean of its divisors is an integer number (179363520).

Almost surely, 2^49106023200 is an apocalyptic number.

49106023200 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 49106023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103313387520).

49106023200 is an abundant number, since it is smaller than the sum of its proper divisors (157520751840).

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

49106023200 is a wasteful number, since it uses less digits than its factorization.

49106023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 49106023200 its reverse (232060194), we get a palindrome (49338083394).

The spelling of 49106023200 in words is "forty-nine billion, one hundred six million, twenty-three thousand, two hundred".