49106116800 has 504 divisors, whose sum is σ = 188838236496. Its totient is φ = 12031303680.

The previous prime is 49106116789. The next prime is 49106116823. The reversal of 49106116800 is 861160194.

It is a happy number.

49106116800 is a `hidden beast` number, since 491 + 0 + 6 + 1 + 168 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 221599²-1.

It is a super-2 number, since 2×49106116800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 51853927 + ... + 51854873.

Almost surely, 2^49106116800 is an apocalyptic number.

49106116800 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 49106116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94419118248).

49106116800 is an abundant number, since it is smaller than the sum of its proper divisors (139732119696).

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

49106116800 is a wasteful number, since it uses less digits than its factorization.

49106116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 49106116800 its reverse (861160194), we get a palindrome (49967276994).

The spelling of 49106116800 in words is "forty-nine billion, one hundred six million, one hundred sixteen thousand, eight hundred".