49561445376 has 165 divisors, whose sum is σ = 148191875161. Its totient is φ = 16499109888.

The previous prime is 49561445341. The next prime is 49561445447. The reversal of 49561445376 is 67354416594.

It is a happy number.

The square root of 49561445376 is 222624.

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

49561445376 is a `hidden beast` number, since 4 + 9 + 5 + 61 + 44 + 537 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3153945600 + 46407499776 = 56160^2 + 215424^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64115326 + ... + 64116098.

Almost surely, 2^49561445376 is an apocalyptic number.

49561445376 is the 222624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49561445376

49561445376 is an abundant number, since it is smaller than the sum of its proper divisors (98630429785).

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

49561445376 is an frugal number, since it uses more digits than its factorization.

49561445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 778 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 49561445376 in words is "forty-nine billion, five hundred sixty-one million, four hundred forty-five thousand, three hundred seventy-six".