1652838130944 has 2592 divisors, whose sum is σ = 7093031895040. Its totient is φ = 372471644160.

The previous prime is 1652838130901. The next prime is 1652838130991. The reversal of 1652838130944 is 4490318382561.

It is a happy number.

1652838130944 is a `hidden beast` number, since 1 + 6 + 528 + 3 + 81 + 30 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×1652838130944² (a number of 25 digits) contains 22 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13014473409 + ... + 13014473535.

Almost surely, 2^{1652838130944} is an apocalyptic number.

1652838130944 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 1652838130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546515947520).

1652838130944 is an abundant number, since it is smaller than the sum of its proper divisors (5440193764096).

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

1652838130944 is a wasteful number, since it uses less digits than its factorization.

1652838130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1652838130944 in words is "one trillion, six hundred fifty-two billion, eight hundred thirty-eight million, one hundred thirty thousand, nine hundred forty-four".