49117356288 has 1152 divisors, whose sum is σ = 202189209600. Its totient is φ = 11346739200.

The previous prime is 49117356283. The next prime is 49117356413. The reversal of 49117356288 is 88265371194.

49117356288 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 7 + 3 + 5 + 628 + 8 = 666.

49117356288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (49117356283) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214486158 + ... + 214486386.

Almost surely, 2^49117356288 is an apocalyptic number.

49117356288 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 49117356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101094604800).

49117356288 is an abundant number, since it is smaller than the sum of its proper divisors (153071853312).

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

49117356288 is a wasteful number, since it uses less digits than its factorization.

49117356288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 49117356288 in words is "forty-nine billion, one hundred seventeen million, three hundred fifty-six thousand, two hundred eighty-eight".