457205051136 has 288 divisors, whose sum is σ = 1302801776640. Its totient is φ = 141927247872.

The previous prime is 457205051123. The next prime is 457205051137. The reversal of 457205051136 is 631150502754.

It is a junction number, because it is equal to n+sod(n) for n = 457205051094 and 457205051103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457205051137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 274927041 + ... + 274928703.

It is an arithmetic number, because the mean of its divisors is an integer number (4523617280).

Almost surely, 2^457205051136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457205051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651400888320).

457205051136 is an abundant number, since it is smaller than the sum of its proper divisors (845596725504).

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

457205051136 is a wasteful number, since it uses less digits than its factorization.

457205051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 457205051136 in words is "four hundred fifty-seven billion, two hundred five million, fifty-one thousand, one hundred thirty-six".