49509346824 has 896 divisors, whose sum is σ = 181315584000. Its totient is φ = 12345177600.

The previous prime is 49509346801. The next prime is 49509346841. The reversal of 49509346824 is 42864390594.

49509346824 is a `hidden beast` number, since 4 + 95 + 0 + 93 + 468 + 2 + 4 = 666.

49509346824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 697314709 + ... + 697314779.

Almost surely, 2^49509346824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49509346824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90657792000).

49509346824 is an abundant number, since it is smaller than the sum of its proper divisors (131806237176).

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

49509346824 is a wasteful number, since it uses less digits than its factorization.

49509346824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 49509346824 in words is "forty-nine billion, five hundred nine million, three hundred forty-six thousand, eight hundred twenty-four".