49423852644100 has 243 divisors, whose sum is σ = 119544986795871. Its totient is φ = 17722878201600.

The previous prime is 49423852644079. The next prime is 49423852644113. The reversal of 49423852644100 is 144625832494.

The square root of 49423852644100 is 7030210.

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 4043582069956 + 45380270574144 = 2010866^2 + 6736488^2 .

It is a super-2 number, since 2×49423852644100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61092524496 + ... + 61092525304.

Almost surely, 2^{49423852644100} is an apocalyptic number.

49423852644100 is the 7030210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49423852644100

49423852644100 is an abundant number, since it is smaller than the sum of its proper divisors (70121134151771).

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

49423852644100 is an equidigital number, since it uses as much as digits as its factorization.

49423852644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 49423852644100 in words is "forty-nine trillion, four hundred twenty-three billion, eight hundred fifty-two million, six hundred forty-four thousand, one hundred".