49382523652900 has 81 divisors (see below), whose sum is σ = 109228351447411. Its totient is φ = 19378849497280.

The previous prime is 49382523652879. The next prime is 49382523652949. The reversal of 49382523652900 is 925632528394.

The square root of 49382523652900 is 7027270.

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 371995087396 + 49010528565504 = 609914^2 + 7000752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3724446471 + ... + 3724459729.

Almost surely, 2^{49382523652900} is an apocalyptic number.

49382523652900 is the 7027270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49382523652900

49382523652900 is an abundant number, since it is smaller than the sum of its proper divisors (59845827794511).

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

49382523652900 is an frugal number, since it uses more digits than its factorization.

49382523652900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26638 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 58.

The spelling of 49382523652900 in words is "forty-nine trillion, three hundred eighty-two billion, five hundred twenty-three million, six hundred fifty-two thousand, nine hundred".