48699699684480 has 3072 divisors, whose sum is σ = 199400527872000. Its totient is φ = 10862293155840.

The previous prime is 48699699684457. The next prime is 48699699684481. The reversal of 48699699684480 is 8448699699684.

48699699684480 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 9 + 69 + 9 + 68 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is not an unprimeable number, because it can be changed into a prime (48699699684481) 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 383 ways as a sum of consecutive naturals, for example, 383462202177 + ... + 383462202303.

It is an arithmetic number, because the mean of its divisors is an integer number (64909026000).

Almost surely, 2^{48699699684480} is an apocalyptic number.

48699699684480 is a gapful number since it is divisible by the number (40) 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 48699699684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99700263936000).

48699699684480 is an abundant number, since it is smaller than the sum of its proper divisors (150700828187520).

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

48699699684480 is a wasteful number, since it uses less digits than its factorization.

48699699684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 46438023168, while the sum is 90.

The spelling of 48699699684480 in words is "forty-eight trillion, six hundred ninety-nine billion, six hundred ninety-nine million, six hundred eighty-four thousand, four hundred eighty".