150359436864 has 420 divisors, whose sum is σ = 558377340444. Its totient is φ = 39654365184.

The previous prime is 150359436809. The next prime is 150359436911. The reversal of 150359436864 is 468634953051.

150359436864 is a `hidden beast` number, since 1 + 503 + 59 + 4 + 3 + 6 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46314483264 + 104044953600 = 215208^2 + 322560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 150359436864.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3279442 + ... + 3324974.

Almost surely, 2^150359436864 is an apocalyptic number.

150359436864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150359436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279188670222).

150359436864 is an abundant number, since it is smaller than the sum of its proper divisors (408017903580).

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

150359436864 is a wasteful number, since it uses less digits than its factorization.

150359436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45584 (or 45558 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 150359436864 in words is "one hundred fifty billion, three hundred fifty-nine million, four hundred thirty-six thousand, eight hundred sixty-four".