148853664313600 has 243 divisors, whose sum is σ = 391427285840031. Its totient is φ = 56032779878400.

The previous prime is 148853664313597. The next prime is 148853664313603. The reversal of 148853664313600 is 6313466358841.

The square root of 148853664313600 is 12200560.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (148853664313597) and next prime (148853664313603).

It can be written as a sum of positive squares in 4 ways, for example, as 3481836577024 + 145371827736576 = 1865968^2 + 12057024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148853664313603) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 16592757115 + ... + 16592766085.

Almost surely, 2^{148853664313600} is an apocalyptic number.

148853664313600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148853664313600 is the 12200560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148853664313600

148853664313600 is an abundant number, since it is smaller than the sum of its proper divisors (242573621526431).

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

148853664313600 is an frugal number, since it uses more digits than its factorization.

148853664313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 148853664313600 in words is "one hundred forty-eight trillion, eight hundred fifty-three billion, six hundred sixty-four million, three hundred thirteen thousand, six hundred".