95914380064356 has 288 divisors, whose sum is σ = 293002924032000. Its totient is φ = 27050225057856.

The previous prime is 95914380064339. The next prime is 95914380064439. The reversal of 95914380064356 is 65346008341959.

95914380064356 is a `hidden beast` number, since 9 + 5 + 9 + 143 + 80 + 0 + 64 + 356 = 666.

95914380064356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 95914380064293 and 95914380064302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738717231 + ... + 1738772393.

It is an arithmetic number, because the mean of its divisors is an integer number (1017371264000).

Almost surely, 2^{95914380064356} 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 95914380064356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146501462016000).

95914380064356 is an abundant number, since it is smaller than the sum of its proper divisors (197088543967644).

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

95914380064356 is a wasteful number, since it uses less digits than its factorization.

95914380064356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59428 (or 59413 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 95914380064356 in words is "ninety-five trillion, nine hundred fourteen billion, three hundred eighty million, sixty-four thousand, three hundred fifty-six".