150084958464 has 243 divisors, whose sum is σ = 503819010513. Its totient is φ = 42844225536.

The previous prime is 150084958459. The next prime is 150084958477. The reversal of 150084958464 is 464859480051.

The square root of 150084958464 is 387408.

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

150084958464 is a `hidden beast` number, since 1 + 50 + 0 + 8 + 4 + 9 + 584 + 6 + 4 = 666.

150084958464 is digitally balanced in base 3, 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 only one way, i.e., 118611360000 + 31473598464 = 344400^2 + 177408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150084958464.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130168512 + ... + 130169664.

Almost surely, 2^150084958464 is an apocalyptic number.

150084958464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

150084958464 is the 387408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150084958464

150084958464 is an abundant number, since it is smaller than the sum of its proper divisors (353734052049).

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

150084958464 is an frugal number, since it uses more digits than its factorization.

150084958464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 150084958464 in words is "one hundred fifty billion, eighty-four million, nine hundred fifty-eight thousand, four hundred sixty-four".