148362205248 has 504 divisors, whose sum is σ = 474843911880. Its totient is φ = 44219105280.

The previous prime is 148362205237. The next prime is 148362205273. The reversal of 148362205248 is 842502263841.

148362205248 is a `hidden beast` number, since 1 + 48 + 3 + 62 + 20 + 524 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 23504569344 + 124857635904 = 153312^2 + 353352^2 .

It is a super-2 number, since 2×148362205248² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352404078 + ... + 352404498.

Almost surely, 2^148362205248 is an apocalyptic number.

148362205248 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 148362205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237421955940).

148362205248 is an abundant number, since it is smaller than the sum of its proper divisors (326481706632).

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

148362205248 is a wasteful number, since it uses less digits than its factorization.

148362205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 148362205248 in words is "one hundred forty-eight billion, three hundred sixty-two million, two hundred five thousand, two hundred forty-eight".