49625581824 has 1215 divisors, whose sum is σ = 198002462427. Its totient is φ = 12318179328.

The previous prime is 49625581777. The next prime is 49625581829. The reversal of 49625581824 is 42818552694.

The square root of 49625581824 is 222768.

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

49625581824 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 558 + 1 + 82 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 448084224 + 49177497600 = 21168^2 + 221760^2 .

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

It is not an unprimeable number, because it can be changed into a prime (49625581829) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2919151864 + ... + 2919151880.

Almost surely, 2^49625581824 is an apocalyptic number.

49625581824 is the 222768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49625581824

49625581824 is an abundant number, since it is smaller than the sum of its proper divisors (148376880603).

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

49625581824 is a wasteful number, since it uses less digits than its factorization.

49625581824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 49625581824 in words is "forty-nine billion, six hundred twenty-five million, five hundred eighty-one thousand, eight hundred twenty-four".