49347525804624 has 320 divisors, whose sum is σ = 143225312993280. Its totient is φ = 16266685317120.

The previous prime is 49347525804593. The next prime is 49347525804641. The reversal of 49347525804624 is 42640852574394.

49347525804624 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 7 + 5 + 2 + 580 + 46 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40548500464 + ... + 40548501680.

It is an arithmetic number, because the mean of its divisors is an integer number (447579103104).

Almost surely, 2^{49347525804624} 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 49347525804624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71612656496640).

49347525804624 is an abundant number, since it is smaller than the sum of its proper divisors (93877787188656).

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

49347525804624 is a wasteful number, since it uses less digits than its factorization.

49347525804624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 49347525804624 in words is "forty-nine trillion, three hundred forty-seven billion, five hundred twenty-five million, eight hundred four thousand, six hundred twenty-four".