150465724416 has 360 divisors, whose sum is σ = 515254521600. Its totient is φ = 42982244352.

The previous prime is 150465724403. The next prime is 150465724433. The reversal of 150465724416 is 614427564051.

150465724416 is a `hidden beast` number, since 1 + 504 + 65 + 72 + 4 + 4 + 16 = 666.

150465724416 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27866485 + ... + 27871883.

It is an arithmetic number, because the mean of its divisors is an integer number (1431262560).

Almost surely, 2^150465724416 is an apocalyptic number.

150465724416 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 150465724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257627260800).

150465724416 is an abundant number, since it is smaller than the sum of its proper divisors (364788797184).

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

150465724416 is an frugal number, since it uses more digits than its factorization.

150465724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 150465724416 in words is "one hundred fifty billion, four hundred sixty-five million, seven hundred twenty-four thousand, four hundred sixteen".