148145670586368 has 1728 divisors, whose sum is σ = 554016455516160. Its totient is φ = 38517187018752.

The previous prime is 148145670586307. The next prime is 148145670586393. The reversal of 148145670586368 is 863685076541841.

148145670586368 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 4 + 5 + 6 + 7 + 0 + 586 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 148145670586296 and 148145670586305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228973215421 + ... + 228973216067.

It is an arithmetic number, because the mean of its divisors is an integer number (320611374720).

Almost surely, 2^{148145670586368} is an apocalyptic number.

148145670586368 is a gapful number since it is divisible by the number (18) 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 148145670586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277008227758080).

148145670586368 is an abundant number, since it is smaller than the sum of its proper divisors (405870784929792).

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

148145670586368 is an frugal number, since it uses more digits than its factorization.

148145670586368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 148145670586368 in words is "one hundred forty-eight trillion, one hundred forty-five billion, six hundred seventy million, five hundred eighty-six thousand, three hundred sixty-eight".