1653623005152 has 96 divisors (see below), whose sum is σ = 4383825691392. Its totient is φ = 545749428224.

The previous prime is 1653623005141. The next prime is 1653623005201. The reversal of 1653623005152 is 2515003263561.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1653623005152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10192573 + ... + 10353539.

It is an arithmetic number, because the mean of its divisors is an integer number (45664850952).

Almost surely, 2^{1653623005152} is an apocalyptic number.

1653623005152 is a gapful number since it is divisible by the number (12) 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 1653623005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191912845696).

1653623005152 is an abundant number, since it is smaller than the sum of its proper divisors (2730202686240).

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

1653623005152 is a wasteful number, since it uses less digits than its factorization.

1653623005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162040 (or 162032 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 1653623005152 in words is "one trillion, six hundred fifty-three billion, six hundred twenty-three million, five thousand, one hundred fifty-two".