150785851968 has 560 divisors, whose sum is σ = 485611952320. Its totient is φ = 46115536896.

The previous prime is 150785851967. The next prime is 150785851969. The reversal of 150785851968 is 869158587051.

150785851968 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 8 + 58 + 519 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (150785851967) and next prime (150785851969).

It is not an unprimeable number, because it can be changed into a prime (150785851967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 481743780 + ... + 481744092.

Almost surely, 2^150785851968 is an apocalyptic number.

150785851968 is a gapful number since it is divisible by the number (18) 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 150785851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242805976160).

150785851968 is an abundant number, since it is smaller than the sum of its proper divisors (334826100352).

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

150785851968 is a wasteful number, since it uses less digits than its factorization.

150785851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 63.

The spelling of 150785851968 in words is "one hundred fifty billion, seven hundred eighty-five million, eight hundred fifty-one thousand, nine hundred sixty-eight".