49868616204288 has 2304 divisors, whose sum is σ = 189502054560000. Its totient is φ = 13062843924480.

The previous prime is 49868616204229. The next prime is 49868616204317. The reversal of 49868616204288 is 88240261686894.

49868616204288 is a `hidden beast` number, since 4 + 9 + 86 + 8 + 61 + 6 + 204 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1608665038833 + ... + 1608665038863.

It is an arithmetic number, because the mean of its divisors is an integer number (82249155625).

Almost surely, 2^{49868616204288} is an apocalyptic number.

49868616204288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49868616204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94751027280000).

49868616204288 is an abundant number, since it is smaller than the sum of its proper divisors (139633438355712).

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

49868616204288 is an frugal number, since it uses more digits than its factorization.

49868616204288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 49868616204288 in words is "forty-nine trillion, eight hundred sixty-eight billion, six hundred sixteen million, two hundred four thousand, two hundred eighty-eight".