457233243012 has 864 divisors, whose sum is σ = 1558477799424. Its totient is φ = 114633792000.

The previous prime is 457233243007. The next prime is 457233243067. The reversal of 457233243012 is 210342332754.

457233243012 is a `hidden beast` number, since 4 + 5 + 7 + 23 + 324 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3600261693 + ... + 3600261819.

Almost surely, 2^457233243012 is an apocalyptic number.

457233243012 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 457233243012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779238899712).

457233243012 is an abundant number, since it is smaller than the sum of its proper divisors (1101244556412).

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

457233243012 is a wasteful number, since it uses less digits than its factorization.

457233243012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 457233243012 its reverse (210342332754), we get a palindrome (667575575766).

The spelling of 457233243012 in words is "four hundred fifty-seven billion, two hundred thirty-three million, two hundred forty-three thousand, twelve".