35966148064 has 192 divisors, whose sum is σ = 94267514880. Its totient is φ = 13090936320.

The previous prime is 35966148019. The next prime is 35966148077. The reversal of 35966148064 is 46084166953.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 2429517 + ... + 2444275.

It is an arithmetic number, because the mean of its divisors is an integer number (490976640).

Almost surely, 2^35966148064 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 35966148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47133757440).

35966148064 is an abundant number, since it is smaller than the sum of its proper divisors (58301366816).

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

35966148064 is a wasteful number, since it uses less digits than its factorization.

35966148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14853 (or 14845 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 35966148064 in words is "thirty-five billion, nine hundred sixty-six million, one hundred forty-eight thousand, sixty-four".