152268207778944 has 192 divisors, whose sum is σ = 454416586172640. Its totient is φ = 50753776490496.

The previous prime is 152268207778901. The next prime is 152268207778991. The reversal of 152268207778944 is 449877702862251.

152268207778944 is a `hidden beast` number, since 1 + 5 + 2 + 268 + 207 + 7 + 78 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776040019 + ... + 776236205.

Almost surely, 2^{152268207778944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152268207778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227208293086320).

152268207778944 is an abundant number, since it is smaller than the sum of its proper divisors (302148378393696).

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

152268207778944 is an equidigital number, since it uses as much as digits as its factorization.

152268207778944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221169 (or 221145 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 152268207778944 in words is "one hundred fifty-two trillion, two hundred sixty-eight billion, two hundred seven million, seven hundred seventy-eight thousand, nine hundred forty-four".