4185154656 has 360 divisors, whose sum is σ = 13517347536. Its totient is φ = 1269043200.

The previous prime is 4185154637. The next prime is 4185154657. The reversal of 4185154656 is 6564515814.

4185154656 is a `hidden beast` number, since 4 + 1 + 8 + 51 + 546 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4185154657) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27716181 + ... + 27716331.

Almost surely, 2^4185154656 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 4185154656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758673768).

4185154656 is an abundant number, since it is smaller than the sum of its proper divisors (9332192880).

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

4185154656 is a wasteful number, since it uses less digits than its factorization.

4185154656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 4185154656 is about 64692.7712808781. The cubic root of 4185154656 is about 1611.5254572155.

The spelling of 4185154656 in words is "four billion, one hundred eighty-five million, one hundred fifty-four thousand, six hundred fifty-six".