4186148064 has 96 divisors (see below), whose sum is σ = 12717573120. Its totient is φ = 1180887552.

The previous prime is 4186148027. The next prime is 4186148089. The reversal of 4186148064 is 4608416814.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4186148064² = 35047671227461896192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13662 + ... + 92514.

It is an arithmetic number, because the mean of its divisors is an integer number (132474720).

Almost surely, 2^4186148064 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 4186148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358786560).

4186148064 is an abundant number, since it is smaller than the sum of its proper divisors (8531425056).

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

4186148064 is a wasteful number, since it uses less digits than its factorization.

4186148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78952 (or 78944 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4186148064 is about 64700.4487156001. The cubic root of 4186148064 is about 1611.6529535499.

The spelling of 4186148064 in words is "four billion, one hundred eighty-six million, one hundred forty-eight thousand, sixty-four".