150343409664 has 224 divisors, whose sum is σ = 509073546240. Its totient is φ = 42954817536.

The previous prime is 150343409659. The next prime is 150343409681. The reversal of 150343409664 is 466904343051.

150343409664 is a `hidden beast` number, since 1 + 503 + 43 + 40 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499737 + ... + 1596839.

It is an arithmetic number, because the mean of its divisors is an integer number (2272649760).

Almost surely, 2^150343409664 is an apocalyptic number.

150343409664 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 150343409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254536773120).

150343409664 is an abundant number, since it is smaller than the sum of its proper divisors (358730136576).

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

150343409664 is an frugal number, since it uses more digits than its factorization.

150343409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97145 (or 97115 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 150343409664 in words is "one hundred fifty billion, three hundred forty-three million, four hundred nine thousand, six hundred sixty-four".