152466061463460 has 72 divisors (see below), whose sum is σ = 471206431495800. Its totient is φ = 39890491550208.

The previous prime is 152466061463423. The next prime is 152466061463473. The reversal of 152466061463460 is 64364160664251.

152466061463460 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 6 + 60 + 61 + 4 + 63 + 460 = 666.

152466061463460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12857043691584 + 139609017771876 = 3585672^2 + 11815626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152466061463397 and 152466061463406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7990874185 + ... + 7990893264.

It is an arithmetic number, because the mean of its divisors is an integer number (6544533770775).

Almost surely, 2^{152466061463460} is an apocalyptic number.

152466061463460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152466061463460 is an abundant number, since it is smaller than the sum of its proper divisors (318740370032340).

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

152466061463460 is a wasteful number, since it uses less digits than its factorization.

152466061463460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15981767517 (or 15981767512 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 152466061463460 in words is "one hundred fifty-two trillion, four hundred sixty-six billion, sixty-one million, four hundred sixty-three thousand, four hundred sixty".