252463149213600 has 288 divisors, whose sum is σ = 885004242603264. Its totient is φ = 62143103692800.

The previous prime is 252463149213559. The next prime is 252463149213697. The reversal of 252463149213600 is 6312941364252.

252463149213600 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-3 number, since 3×252463149213600³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252463149213600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1484442169 + ... + 1484612231.

It is an arithmetic number, because the mean of its divisors is an integer number (3072931397928).

Almost surely, 2^{252463149213600} is an apocalyptic number.

252463149213600 is a gapful number since it is divisible by the number (20) 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 252463149213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442502121301632).

252463149213600 is an abundant number, since it is smaller than the sum of its proper divisors (632541093389664).

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

252463149213600 is a wasteful number, since it uses less digits than its factorization.

252463149213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217680 (or 217667 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 252463149213600 in words is "two hundred fifty-two trillion, four hundred sixty-three billion, one hundred forty-nine million, two hundred thirteen thousand, six hundred".