148313346624 has 448 divisors, whose sum is σ = 462086553600. Its totient is φ = 46584115200.

The previous prime is 148313346617. The next prime is 148313346631. The reversal of 148313346624 is 426643313841.

148313346624 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 13 + 3 + 4 + 6 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (148313346617) and next prime (148313346631).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 148313346624.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527805364 + ... + 527805644.

It is an arithmetic number, because the mean of its divisors is an integer number (1031443200).

Almost surely, 2^148313346624 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 148313346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231043276800).

148313346624 is an abundant number, since it is smaller than the sum of its proper divisors (313773206976).

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

148313346624 is a wasteful number, since it uses less digits than its factorization.

148313346624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 148313346624 in words is "one hundred forty-eight billion, three hundred thirteen million, three hundred forty-six thousand, six hundred twenty-four".