150481146816 has 1120 divisors, whose sum is σ = 612657948672. Its totient is φ = 35254517760.

The previous prime is 150481146791. The next prime is 150481146817. The reversal of 150481146816 is 618641184051.

150481146816 is a `hidden beast` number, since 1 + 50 + 481 + 1 + 46 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150481146817) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 243891340 + ... + 243891956.

Almost surely, 2^150481146816 is an apocalyptic number.

150481146816 is a gapful number since it is divisible by the number (16) 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 150481146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306328974336).

150481146816 is an abundant number, since it is smaller than the sum of its proper divisors (462176801856).

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

150481146816 is a wasteful number, since it uses less digits than its factorization.

150481146816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 150481146816 in words is "one hundred fifty billion, four hundred eighty-one million, one hundred forty-six thousand, eight hundred sixteen".