148810601060352 has 1536 divisors, whose sum is σ = 593803042560000. Its totient is φ = 36377583943680.

The previous prime is 148810601060351. The next prime is 148810601060389. The reversal of 148810601060352 is 253060106018841.

148810601060352 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 1 + 0 + 601 + 0 + 6 + 0 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 148810601060298 and 148810601060307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148810601060351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3546719758 + ... + 3546761714.

It is an arithmetic number, because the mean of its divisors is an integer number (386590522500).

Almost surely, 2^{148810601060352} is an apocalyptic number.

148810601060352 is a gapful number since it is divisible by the number (12) 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 148810601060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296901521280000).

148810601060352 is an abundant number, since it is smaller than the sum of its proper divisors (444992441499648).

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

148810601060352 is a wasteful number, since it uses less digits than its factorization.

148810601060352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42037 (or 41997 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 148810601060352 in words is "one hundred forty-eight trillion, eight hundred ten billion, six hundred one million, sixty thousand, three hundred fifty-two".