150816665664 has 420 divisors, whose sum is σ = 521420565996. Its totient is φ = 42977765376.

The previous prime is 150816665647. The next prime is 150816665771. The reversal of 150816665664 is 466566618051.

It can be written as a sum of positive squares in 2 ways, for example, as 142122968064 + 8693697600 = 376992^2 + 93240^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 150816665664.

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 59 ways as a sum of consecutive naturals, for example, 171968394 + ... + 171969270.

Almost surely, 2^150816665664 is an apocalyptic number.

150816665664 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 150816665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260710282998).

150816665664 is an abundant number, since it is smaller than the sum of its proper divisors (370603900332).

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

150816665664 is an equidigital number, since it uses as much as digits as its factorization.

150816665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 150816665664 in words is "one hundred fifty billion, eight hundred sixteen million, six hundred sixty-five thousand, six hundred sixty-four".