48447630499968 has 512 divisors, whose sum is σ = 172729548288000. Its totient is φ = 13059201024000.

The previous prime is 48447630499963. The next prime is 48447630499969. The reversal of 48447630499968 is 86999403674484.

It is a happy number.

48447630499968 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 7 + 6 + 30 + 499 + 96 + 8 = 666.

It is a super-2 number, since 2×48447630499968² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48447630499963) 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, 110556493 + ... + 110993843.

It is an arithmetic number, because the mean of its divisors is an integer number (337362399000).

Almost surely, 2^{48447630499968} is an apocalyptic number.

48447630499968 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 48447630499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86364774144000).

48447630499968 is an abundant number, since it is smaller than the sum of its proper divisors (124281917788032).

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

48447630499968 is a wasteful number, since it uses less digits than its factorization.

48447630499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437641 (or 437623 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 81.

The spelling of 48447630499968 in words is "forty-eight trillion, four hundred forty-seven billion, six hundred thirty million, four hundred ninety-nine thousand, nine hundred sixty-eight".