49738427898768 has 480 divisors, whose sum is σ = 170350630195200. Its totient is φ = 13231316127744.

The previous prime is 49738427898727. The next prime is 49738427898769. The reversal of 49738427898768 is 86789872483794.

49738427898768 is a `hidden beast` number, since 4 + 9 + 7 + 38 + 427 + 8 + 98 + 7 + 68 = 666.

It is a super-2 number, since 2×49738427898768² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49738427898769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555573913 + ... + 555663431.

It is an arithmetic number, because the mean of its divisors is an integer number (354897146240).

Almost surely, 2^{49738427898768} is an apocalyptic number.

49738427898768 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 49738427898768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85175315097600).

49738427898768 is an abundant number, since it is smaller than the sum of its proper divisors (120612202296432).

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

49738427898768 is a wasteful number, since it uses less digits than its factorization.

49738427898768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90059 (or 90050 counting only the distinct ones).

The product of its digits is 65548320768, while the sum is 90.

The spelling of 49738427898768 in words is "forty-nine trillion, seven hundred thirty-eight billion, four hundred twenty-seven million, eight hundred ninety-eight thousand, seven hundred sixty-eight".