252198981216 has 864 divisors, whose sum is σ = 938414484000. Its totient is φ = 65666764800.

The previous prime is 252198981211. The next prime is 252198981227. The reversal of 252198981216 is 612189891252.

252198981216 is a `hidden beast` number, since 2 + 521 + 9 + 8 + 98 + 1 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×252198981216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252198981211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722633010 + ... + 722633358.

It is an arithmetic number, because the mean of its divisors is an integer number (1086127875).

Almost surely, 2^252198981216 is an apocalyptic number.

252198981216 is a gapful number since it is divisible by the number (26) 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 252198981216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469207242000).

252198981216 is an abundant number, since it is smaller than the sum of its proper divisors (686215502784).

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

252198981216 is a wasteful number, since it uses less digits than its factorization.

252198981216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 475 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 252198981216 in words is "two hundred fifty-two billion, one hundred ninety-eight million, nine hundred eighty-one thousand, two hundred sixteen".