75556105146648 has 192 divisors, whose sum is σ = 241670870937600. Its totient is φ = 20868352600320.

The previous prime is 75556105146623. The next prime is 75556105146667. The reversal of 75556105146648 is 84664150165557.

75556105146648 is a `hidden beast` number, since 7 + 5 + 5 + 5 + 6 + 10 + 514 + 66 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11727390 + ... + 16989522.

It is an arithmetic number, because the mean of its divisors is an integer number (1258702452800).

Almost surely, 2^{75556105146648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75556105146648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120835435468800).

75556105146648 is an abundant number, since it is smaller than the sum of its proper divisors (166114765790952).

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

75556105146648 is a wasteful number, since it uses less digits than its factorization.

75556105146648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263102 (or 5263095 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 75556105146648 in words is "seventy-five trillion, five hundred fifty-six billion, one hundred five million, one hundred forty-six thousand, six hundred forty-eight".