148314057357312 has 3840 divisors, whose sum is σ = 610310308608000. Its totient is φ = 35437711196160.

The previous prime is 148314057357287. The next prime is 148314057357317. The reversal of 148314057357312 is 213753750413841.

148314057357312 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 1 + 4 + 0 + 57 + 3 + 573 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148314057357317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 563931776893 + ... + 563931777155.

It is an arithmetic number, because the mean of its divisors is an integer number (158934976200).

Almost surely, 2^{148314057357312} is an apocalyptic number.

148314057357312 is a gapful number since it is divisible by the number (12) 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 148314057357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305155154304000).

148314057357312 is an abundant number, since it is smaller than the sum of its proper divisors (461996251250688).

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

148314057357312 is a wasteful number, since it uses less digits than its factorization.

148314057357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 148314057357312 in words is "one hundred forty-eight trillion, three hundred fourteen billion, fifty-seven million, three hundred fifty-seven thousand, three hundred twelve".