48200826949632 has 1248 divisors, whose sum is σ = 173628692357120. Its totient is φ = 12572664791040.

The previous prime is 48200826949621. The next prime is 48200826949637. The reversal of 48200826949632 is 23694962800284.

48200826949632 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 0 + 82 + 69 + 496 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 48200826949632.

It is not an unprimeable number, because it can be changed into a prime (48200826949637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46661012988 + ... + 46661014020.

Almost surely, 2^{48200826949632} is an apocalyptic number.

48200826949632 is a gapful number since it is divisible by the number (42) 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 48200826949632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86814346178560).

48200826949632 is an abundant number, since it is smaller than the sum of its proper divisors (125427865407488).

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

48200826949632 is a wasteful number, since it uses less digits than its factorization.

48200826949632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 48200826949632 in words is "forty-eight trillion, two hundred billion, eight hundred twenty-six million, nine hundred forty-nine thousand, six hundred thirty-two".