20457685248 has 864 divisors, whose sum is σ = 77563422720. Its totient is φ = 4638965760.

The previous prime is 20457685247. The next prime is 20457685273. The reversal of 20457685248 is 84258675402.

It is a self number, because there is not a number n which added to its sum of digits gives 20457685248.

It is not an unprimeable number, because it can be changed into a prime (20457685247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229861588 + ... + 229861676.

It is an arithmetic number, because the mean of its divisors is an integer number (89772480).

Almost surely, 2^20457685248 is an apocalyptic number.

20457685248 is a gapful number since it is divisible by the number (28) 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 20457685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38781711360).

20457685248 is an abundant number, since it is smaller than the sum of its proper divisors (57105737472).

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

20457685248 is a wasteful number, since it uses less digits than its factorization.

20457685248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 20457685248 in words is "twenty billion, four hundred fifty-seven million, six hundred eighty-five thousand, two hundred forty-eight".