1652214144 has 192 divisors, whose sum is σ = 5139808560. Its totient is φ = 468873216.

The previous prime is 1652214127. The next prime is 1652214167. The reversal of 1652214144 is 4414122561.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 5211874 + ... + 5212190.

Almost surely, 2^1652214144 is an apocalyptic number.

1652214144 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 1652214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569904280).

1652214144 is an abundant number, since it is smaller than the sum of its proper divisors (3487594416).

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

1652214144 is a wasteful number, since it uses less digits than its factorization.

1652214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 1652214144 is about 40647.4371147801. The cubic root of 1652214144 is about 1182.1940754559.

The spelling of 1652214144 in words is "one billion, six hundred fifty-two million, two hundred fourteen thousand, one hundred forty-four".