49137588900 has 189 divisors, whose sum is σ = 160064681203. Its totient is φ = 13087396800.

The previous prime is 49137588889. The next prime is 49137588911. The reversal of 49137588900 is 988573194.

The square root of 49137588900 is 221670.

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

49137588900 is a `hidden beast` number, since 49 + 13 + 7 + 588 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49137588889) and next prime (49137588911).

It can be written as a sum of positive squares in 4 ways, for example, as 6675216804 + 42462372096 = 81702^2 + 206064^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 59850490 + ... + 59851310.

Almost surely, 2^49137588900 is an apocalyptic number.

49137588900 is the 221670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49137588900

49137588900 is an abundant number, since it is smaller than the sum of its proper divisors (110927092303).

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

49137588900 is an frugal number, since it uses more digits than its factorization.

49137588900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 49137588900 in words is "forty-nine billion, one hundred thirty-seven million, five hundred eighty-eight thousand, nine hundred".