469458572853312 has 2016 divisors, whose sum is σ = 1751006698721280. Its totient is φ = 119362112593920.

The previous prime is 469458572853299. The next prime is 469458572853313. The reversal of 469458572853312 is 213358275854964.

469458572853312 is a `hidden beast` number, since 4 + 6 + 9 + 4 + 5 + 8 + 5 + 7 + 285 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (469458572853313) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 395500060783 + ... + 395500061969.

It is an arithmetic number, because the mean of its divisors is an integer number (868554910080).

Almost surely, 2^{469458572853312} is an apocalyptic number.

469458572853312 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 469458572853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875503349360640).

469458572853312 is an abundant number, since it is smaller than the sum of its proper divisors (1281548125867968).

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

469458572853312 is a wasteful number, since it uses less digits than its factorization.

469458572853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1929 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 72.

The spelling of 469458572853312 in words is "four hundred sixty-nine trillion, four hundred fifty-eight billion, five hundred seventy-two million, eight hundred fifty-three thousand, three hundred twelve".