264506456145150 has 288 divisors, whose sum is σ = 731049888625056. Its totient is φ = 68524485120000.

The previous prime is 264506456145097. The next prime is 264506456145157. The reversal of 264506456145150 is 51541654605462.

It is a happy number.

264506456145150 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 0 + 6 + 4 + 5 + 614 + 5 + 15 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264506456145157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4176144282 + ... + 4176207618.

It is an arithmetic number, because the mean of its divisors is an integer number (2538367668837).

Almost surely, 2^{264506456145150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264506456145150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365524944312528).

264506456145150 is an abundant number, since it is smaller than the sum of its proper divisors (466543432479906).

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

264506456145150 is a wasteful number, since it uses less digits than its factorization.

264506456145150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64348 (or 64340 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 264506456145150 in words is "two hundred sixty-four trillion, five hundred six billion, four hundred fifty-six million, one hundred forty-five thousand, one hundred fifty".