49949874735552 has 1120 divisors, whose sum is σ = 168983789365248. Its totient is φ = 14648057107200.

The previous prime is 49949874735539. The next prime is 49949874735569. The reversal of 49949874735552 is 25553747894994.

The cubic root of 49949874735552 is 36828.

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

49949874735552 is a `hidden beast` number, since 4 + 9 + 9 + 4 + 98 + 7 + 473 + 5 + 5 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1611286281777 + ... + 1611286281807.

Almost surely, 2^{49949874735552} 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 49949874735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84491894682624).

49949874735552 is an abundant number, since it is smaller than the sum of its proper divisors (119033914629696).

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

49949874735552 is an frugal number, since it uses more digits than its factorization.

49949874735552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 47 counting only the distinct ones).

The product of its digits is 13716864000, while the sum is 81.

The spelling of 49949874735552 in words is "forty-nine trillion, nine hundred forty-nine billion, eight hundred seventy-four million, seven hundred thirty-five thousand, five hundred fifty-two".