4186945944 has 128 divisors (see below), whose sum is σ = 12775104000. Its totient is φ = 1264678272.

The previous prime is 4186945933. The next prime is 4186945951. The reversal of 4186945944 is 4495496814.

4186945944 is a `hidden beast` number, since 4 + 186 + 9 + 459 + 4 + 4 = 666.

It is a super-2 number, since 2×4186945944² = 35061032675956102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72214 + ... + 116570.

It is an arithmetic number, because the mean of its divisors is an integer number (99805500).

Almost surely, 2^4186945944 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 4186945944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387552000).

4186945944 is an abundant number, since it is smaller than the sum of its proper divisors (8588158056).

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

4186945944 is a wasteful number, since it uses less digits than its factorization.

4186945944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44414 (or 44404 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4186945944 is about 64706.6143759662. The cubic root of 4186945944 is about 1611.7553407524.

The spelling of 4186945944 in words is "four billion, one hundred eighty-six million, nine hundred forty-five thousand, nine hundred forty-four".