148964123468160 has 8192 divisors, whose sum is σ = 778256252928000. Its totient is φ = 25914996817920.

The previous prime is 148964123468131. The next prime is 148964123468161. The reversal of 148964123468160 is 61864321469841.

148964123468160 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 6 + 4 + 1 + 2 + 3 + 468 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148964123468161) by changing a digit.

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 1023 ways as a sum of consecutive naturals, for example, 1172945854017 + ... + 1172945854143.

It is an arithmetic number, because the mean of its divisors is an integer number (95001984000).

Almost surely, 2^{148964123468160} is an apocalyptic number.

148964123468160 is a gapful number since it is divisible by the number (10) 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 148964123468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389128126464000).

148964123468160 is an abundant number, since it is smaller than the sum of its proper divisors (629292129459840).

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

148964123468160 is a wasteful number, since it uses less digits than its factorization.

148964123468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 148964123468160 in words is "one hundred forty-eight trillion, nine hundred sixty-four billion, one hundred twenty-three million, four hundred sixty-eight thousand, one hundred sixty".