148113351124992 has 960 divisors, whose sum is σ = 513600783696000. Its totient is φ = 42028640501760.

The previous prime is 148113351124987. The next prime is 148113351125011. The reversal of 148113351124992 is 299421153311841.

148113351124992 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 1 + 3 + 35 + 112 + 499 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6173178148 + ... + 6173202140.

It is an arithmetic number, because the mean of its divisors is an integer number (535000816350).

Almost surely, 2^{148113351124992} is an apocalyptic number.

148113351124992 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 148113351124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256800391848000).

148113351124992 is an abundant number, since it is smaller than the sum of its proper divisors (365487432571008).

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

148113351124992 is a wasteful number, since it uses less digits than its factorization.

148113351124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24254 (or 24225 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 148113351124992 in words is "one hundred forty-eight trillion, one hundred thirteen billion, three hundred fifty-one million, one hundred twenty-four thousand, nine hundred ninety-two".