252446583921984 has 280 divisors, whose sum is σ = 755440151336640. Its totient is φ = 83353078923264.

The previous prime is 252446583921821. The next prime is 252446583922031. The reversal of 252446583921984 is 489129385644252.

It is a happy number.

252446583921984 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 46 + 5 + 8 + 392 + 198 + 4 = 666.

252446583921984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252446583921984² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237950269 + ... + 239008835.

It is an arithmetic number, because the mean of its divisors is an integer number (2698000540488).

Almost surely, 2^{252446583921984} is an apocalyptic number.

252446583921984 is a gapful number since it is divisible by the number (24) 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 252446583921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377720075668320).

252446583921984 is an abundant number, since it is smaller than the sum of its proper divisors (502993567414656).

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

252446583921984 is a wasteful number, since it uses less digits than its factorization.

252446583921984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059027 (or 1059008 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 252446583921984 in words is "two hundred fifty-two trillion, four hundred forty-six billion, five hundred eighty-three million, nine hundred twenty-one thousand, nine hundred eighty-four".