148609785397248 has 1600 divisors, whose sum is σ = 529475345784000. Its totient is φ = 40659918520320.

The previous prime is 148609785397223. The next prime is 148609785397261. The reversal of 148609785397248 is 842793587906841.

148609785397248 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 0 + 9 + 7 + 8 + 539 + 72 + 4 + 8 = 666.

It is a super-2 number, since 2×148609785397248² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1084742959036 + ... + 1084742959172.

It is an arithmetic number, because the mean of its divisors is an integer number (330922091115).

It is a 1-persistent number, because it is pandigital, but 2⋅148609785397248 = 297219570794496 is not.

Almost surely, 2^{148609785397248} is an apocalyptic number.

148609785397248 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 148609785397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264737672892000).

148609785397248 is an abundant number, since it is smaller than the sum of its proper divisors (380865560386752).

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

148609785397248 is an frugal number, since it uses more digits than its factorization.

148609785397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 148609785397248 in words is "one hundred forty-eight trillion, six hundred nine billion, seven hundred eighty-five million, three hundred ninety-seven thousand, two hundred forty-eight".