1854464328864 has 672 divisors, whose sum is σ = 6659540084736. Its totient is φ = 496001802240.

The previous prime is 1854464328833. The next prime is 1854464328883. The reversal of 1854464328864 is 4688234644581.

It is a happy number.

1854464328864 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 464 + 32 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 546876609 + ... + 546879999.

It is an arithmetic number, because the mean of its divisors is an integer number (9910029888).

Almost surely, 2^{1854464328864} is an apocalyptic number.

1854464328864 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 1854464328864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329770042368).

1854464328864 is an abundant number, since it is smaller than the sum of its proper divisors (4805075755872).

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

1854464328864 is a wasteful number, since it uses less digits than its factorization.

1854464328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3617 counting only the distinct ones).

The product of its digits is 141557760, while the sum is 63.

The spelling of 1854464328864 in words is "one trillion, eight hundred fifty-four billion, four hundred sixty-four million, three hundred twenty-eight thousand, eight hundred sixty-four".