1854047664 has 480 divisors, whose sum is σ = 6802342400. Its totient is φ = 472158720.

The previous prime is 1854047653. The next prime is 1854047669. The reversal of 1854047664 is 4667404581.

1854047664 is a `hidden beast` number, since 1 + 8 + 540 + 47 + 6 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (1854047669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30394194 + ... + 30394254.

Almost surely, 2^1854047664 is an apocalyptic number.

1854047664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1854047664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401171200).

1854047664 is an abundant number, since it is smaller than the sum of its proper divisors (4948294736).

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

1854047664 is a wasteful number, since it uses less digits than its factorization.

1854047664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1854047664 is about 43058.6537643712. The cubic root of 1854047664 is about 1228.4956743010.

The spelling of 1854047664 in words is "one billion, eight hundred fifty-four million, forty-seven thousand, six hundred sixty-four".