518470242481152 has 1408 divisors, whose sum is σ = 1844567355456000. Its totient is φ = 142360250941440.

The previous prime is 518470242481151. The next prime is 518470242481157. The reversal of 518470242481152 is 251184242074815.

518470242481152 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 7 + 0 + 2 + 4 + 2 + 481 + 152 = 666.

It is a super-2 number, since 2×518470242481152² (a number of 30 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 (518470242481151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8119715658 + ... + 8119779510.

Almost surely, 2^{518470242481152} is an apocalyptic number.

518470242481152 is a gapful number since it is divisible by the number (52) 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 518470242481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922283677728000).

518470242481152 is an abundant number, since it is smaller than the sum of its proper divisors (1326097112974848).

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

518470242481152 is a wasteful number, since it uses less digits than its factorization.

518470242481152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63984 (or 63960 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 518470242481152 in words is "five hundred eighteen trillion, four hundred seventy billion, two hundred forty-two million, four hundred eighty-one thousand, one hundred fifty-two".