468829153521 has 15 divisors (see below), whose sum is σ = 700358928841. Its totient is φ = 312548660748.

The previous prime is 468829153519. The next prime is 468829153549. The reversal of 468829153521 is 125351928864.

The square root of 468829153521 is 684711.

It is a perfect power (a square), and thus also a powerful number.

468829153521 is a `hidden beast` number, since 4 + 6 + 8 + 82 + 9 + 1 + 535 + 21 = 666.

It is not a de Polignac number, because 468829153521 - 2¹ = 468829153519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468829151521) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6124360 + ... + 6200438.

Almost surely, 2^468829153521 is an apocalyptic number.

468829153521 is the 684711-st square number.

468829153521 is the 342356-th centered octagonal number.

It is an amenable number.

468829153521 is a deficient number, since it is larger than the sum of its proper divisors (231529775320).

468829153521 is an frugal number, since it uses more digits than its factorization.

468829153521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152170 (or 76082 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 468829153521 in words is "four hundred sixty-eight billion, eight hundred twenty-nine million, one hundred fifty-three thousand, five hundred twenty-one".