49119856900 has 81 divisors (see below), whose sum is σ = 109731953919. Its totient is φ = 19085002560.

The previous prime is 49119856889. The next prime is 49119856927. The reversal of 49119856900 is 965891194.

It is a happy number.

The square root of 49119856900 is 221630.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4662977796 + 44456879104 = 68286^2 + 210848^2 .

It is a super-2 number, since 2×49119856900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82002801 + ... + 82003399.

Almost surely, 2^49119856900 is an apocalyptic number.

49119856900 is the 221630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49119856900

49119856900 is an abundant number, since it is smaller than the sum of its proper divisors (60612097019).

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

49119856900 is an equidigital number, since it uses as much as digits as its factorization.

49119856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 49119856900 in words is "forty-nine billion, one hundred nineteen million, eight hundred fifty-six thousand, nine hundred".