148643639913600 has 960 divisors, whose sum is σ = 604460472887040. Its totient is φ = 35738257121280.

The previous prime is 148643639913511. The next prime is 148643639913611. The reversal of 148643639913600 is 6319936346841.

148643639913600 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 4 + 3 + 6 + 3 + 9 + 9 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144379857 + ... + 145405743.

It is an arithmetic number, because the mean of its divisors is an integer number (629646325924).

Almost surely, 2^{148643639913600} is an apocalyptic number.

148643639913600 is a gapful number since it is divisible by the number (10) 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 148643639913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302230236443520).

148643639913600 is an abundant number, since it is smaller than the sum of its proper divisors (455816832973440).

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

148643639913600 is a wasteful number, since it uses less digits than its factorization.

148643639913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025979 (or 1025953 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 148643639913600 in words is "one hundred forty-eight trillion, six hundred forty-three billion, six hundred thirty-nine million, nine hundred thirteen thousand, six hundred".