49371062028288 has 768 divisors, whose sum is σ = 180836835379200. Its totient is φ = 11561871605760.

The previous prime is 49371062028269. The next prime is 49371062028289. The reversal of 49371062028288 is 88282026017394.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×49371062028288² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49371062028289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264362848 + ... + 264549536.

It is an arithmetic number, because the mean of its divisors is an integer number (235464629400).

Almost surely, 2^{49371062028288} is an apocalyptic number.

49371062028288 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 49371062028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90418417689600).

49371062028288 is an abundant number, since it is smaller than the sum of its proper divisors (131465773350912).

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

49371062028288 is a wasteful number, since it uses less digits than its factorization.

49371062028288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186788 (or 186768 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 49371062028288 in words is "forty-nine trillion, three hundred seventy-one billion, sixty-two million, twenty-eight thousand, two hundred eighty-eight".