52214613984 has 480 divisors, whose sum is σ = 174733796160. Its totient is φ = 15174770688.

The previous prime is 52214613967. The next prime is 52214613991. The reversal of 52214613984 is 48931641225.

52214613984 is a `hidden beast` number, since 5 + 2 + 21 + 4 + 613 + 9 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68975334 + ... + 68976090.

It is an arithmetic number, because the mean of its divisors is an integer number (364028742).

Almost surely, 2^52214613984 is an apocalyptic number.

52214613984 is a gapful number since it is divisible by the number (54) 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 52214613984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87366898080).

52214613984 is an abundant number, since it is smaller than the sum of its proper divisors (122519182176).

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

52214613984 is a wasteful number, since it uses less digits than its factorization.

52214613984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 887 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

It can be divided in two parts, 522146 and 13984, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 52214613984 in words is "fifty-two billion, two hundred fourteen million, six hundred thirteen thousand, nine hundred eighty-four".