150456208276416 has 672 divisors, whose sum is σ = 480877008353280. Its totient is φ = 41374237556736.

The previous prime is 150456208276337. The next prime is 150456208276417. The reversal of 150456208276416 is 614672802654051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150456208276417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5551261521 + ... + 5551288623.

It is an arithmetic number, because the mean of its divisors is an integer number (715590786240).

Almost surely, 2^{150456208276416} is an apocalyptic number.

150456208276416 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 150456208276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240438504176640).

150456208276416 is an abundant number, since it is smaller than the sum of its proper divisors (330420800076864).

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

150456208276416 is a wasteful number, since it uses less digits than its factorization.

150456208276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27401 (or 27384 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 150456208276416 in words is "one hundred fifty trillion, four hundred fifty-six billion, two hundred eight million, two hundred seventy-six thousand, four hundred sixteen".