154524465216 has 189 divisors, whose sum is σ = 487169259213. Its totient is φ = 46794147840.

The previous prime is 154524465211. The next prime is 154524465217. The reversal of 154524465216 is 612564425451.

The square root of 154524465216 is 393096.

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

154524465216 is a `hidden beast` number, since 1 + 54 + 524 + 4 + 65 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33086154816 + 121438310400 = 181896^2 + 348480^2 .

It is not an unprimeable number, because it can be changed into a prime (154524465211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103776600 + ... + 103778088.

Almost surely, 2^154524465216 is an apocalyptic number.

154524465216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

154524465216 is the 393096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154524465216

154524465216 is an abundant number, since it is smaller than the sum of its proper divisors (332644793997).

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

154524465216 is an equidigital number, since it uses as much as digits as its factorization.

154524465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1505 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 154524465216 in words is "one hundred fifty-four billion, five hundred twenty-four million, four hundred sixty-five thousand, two hundred sixteen".