149854909842576 has 405 divisors, whose sum is σ = 437806253502891. Its totient is φ = 47848885553664.

The previous prime is 149854909842499. The next prime is 149854909842581. The reversal of 149854909842576 is 675248909458941.

The square root of 149854909842576 is 12241524.

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

149854909842576 is a `hidden beast` number, since 1 + 4 + 9 + 85 + 49 + 0 + 9 + 8 + 425 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61986333459600 + 87868576382976 = 7873140^2 + 9373824^2 .

It is a super-2 number, since 2×149854909842576² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149854909842495 and 149854909842504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 429383695650 + ... + 429383695998.

Almost surely, 2^{149854909842576} is an apocalyptic number.

149854909842576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149854909842576 is the 12241524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149854909842576

149854909842576 is an abundant number, since it is smaller than the sum of its proper divisors (287951343660315).

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

149854909842576 is an frugal number, since it uses more digits than its factorization.

149854909842576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 149854909842576 in words is "one hundred forty-nine trillion, eight hundred fifty-four billion, nine hundred nine million, eight hundred forty-two thousand, five hundred seventy-six".