1959894144 has 384 divisors, whose sum is σ = 6518191680. Its totient is φ = 582266880.

The previous prime is 1959894127. The next prime is 1959894199. The reversal of 1959894144 is 4414989591.

1959894144 is a `hidden beast` number, since 1 + 9 + 598 + 9 + 4 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1959894144³ (a number of 29 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14960959 + ... + 14961089.

Almost surely, 2^1959894144 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 1959894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259095840).

1959894144 is an abundant number, since it is smaller than the sum of its proper divisors (4558297536).

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

1959894144 is a wasteful number, since it uses less digits than its factorization.

1959894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1959894144 is about 44270.6917045578. The cubic root of 1959894144 is about 1251.4424189552.

The spelling of 1959894144 in words is "one billion, nine hundred fifty-nine million, eight hundred ninety-four thousand, one hundred forty-four".