4648096853400 has 768 divisors, whose sum is σ = 19674540748800. Its totient is φ = 876425472000.

The previous prime is 4648096853399. The next prime is 4648096853437. The reversal of 4648096853400 is 43586908464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35369815 + ... + 35500985.

It is an arithmetic number, because the mean of its divisors is an integer number (25617891600).

Almost surely, 2^{4648096853400} is an apocalyptic number.

4648096853400 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 4648096853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837270374400).

4648096853400 is an abundant number, since it is smaller than the sum of its proper divisors (15026443895400).

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

4648096853400 is a wasteful number, since it uses less digits than its factorization.

4648096853400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131280 (or 131271 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 4648096853400 in words is "four trillion, six hundred forty-eight billion, ninety-six million, eight hundred fifty-three thousand, four hundred".