49377284100 has 189 divisors, whose sum is σ = 160845006693. Its totient is φ = 13151276640.

The previous prime is 49377284093. The next prime is 49377284129. The reversal of 49377284100 is 148277394.

The square root of 49377284100 is 222210.

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

49377284100 is a `hidden beast` number, since 493 + 7 + 72 + 84 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17775822276 + 31601461824 = 133326^2 + 177768^2 .

It is a super-2 number, since 2×49377284100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 62 ways as a sum of consecutive naturals, for example, 59996289 + ... + 59997111.

Almost surely, 2^49377284100 is an apocalyptic number.

49377284100 is the 222210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49377284100

49377284100 is an abundant number, since it is smaller than the sum of its proper divisors (111467722593).

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

49377284100 is an frugal number, since it uses more digits than its factorization.

49377284100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 49377284100 in words is "forty-nine billion, three hundred seventy-seven million, two hundred eighty-four thousand, one hundred".