457115663312000 has 768 divisors, whose sum is σ = 1442734950159360. Its totient is φ = 142428948480000.

The previous prime is 457115663311913. The next prime is 457115663312029. The reversal of 457115663312000 is 213366511754.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31675944785 + ... + 31675959215.

It is an arithmetic number, because the mean of its divisors is an integer number (1878561133020).

Almost surely, 2^{457115663312000} is an apocalyptic number.

457115663312000 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 457115663312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721367475079680).

457115663312000 is an abundant number, since it is smaller than the sum of its proper divisors (985619286847360).

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

457115663312000 is a wasteful number, since it uses less digits than its factorization.

457115663312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18158 (or 18129 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 457115663312000 in words is "four hundred fifty-seven trillion, one hundred fifteen billion, six hundred sixty-three million, three hundred twelve thousand".