514664077153072 has 360 divisors, whose sum is σ = 1310028021590400. Its totient is φ = 195014537625600.

The previous prime is 514664077153001. The next prime is 514664077153087. The reversal of 514664077153072 is 270351770466415.

It is a super-2 number, since 2×514664077153072² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 514664077152998 and 514664077153016.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8420382672 + ... + 8420443792.

It is an arithmetic number, because the mean of its divisors is an integer number (3638966726640).

Almost surely, 2^{514664077153072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514664077153072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655014010795200).

514664077153072 is an abundant number, since it is smaller than the sum of its proper divisors (795363944437328).

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

514664077153072 is a wasteful number, since it uses less digits than its factorization.

514664077153072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63601 (or 63577 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 58.

The spelling of 514664077153072 in words is "five hundred fourteen trillion, six hundred sixty-four billion, seventy-seven million, one hundred fifty-three thousand, seventy-two".