52981464969216 has 624 divisors, whose sum is σ = 186770023464960. Its totient is φ = 14144044400640.

The previous prime is 52981464969211. The next prime is 52981464969227. The reversal of 52981464969216 is 61296946418925.

52981464969216 is a `hidden beast` number, since 5 + 2 + 9 + 8 + 1 + 46 + 496 + 92 + 1 + 6 = 666.

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 (52981464969211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231870961 + ... + 232099343.

It is an arithmetic number, because the mean of its divisors is an integer number (299310935040).

Almost surely, 2^{52981464969216} is an apocalyptic number.

52981464969216 is a gapful number since it is divisible by the number (56) 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 52981464969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93385011732480).

52981464969216 is an abundant number, since it is smaller than the sum of its proper divisors (133788558495744).

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

52981464969216 is a wasteful number, since it uses less digits than its factorization.

52981464969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228480 (or 228455 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 52981464969216 in words is "fifty-two trillion, nine hundred eighty-one billion, four hundred sixty-four million, nine hundred sixty-nine thousand, two hundred sixteen".