653235056144 has 80 divisors (see below), whose sum is σ = 1387523264256. Its totient is φ = 295459382400.

The previous prime is 653235056101. The next prime is 653235056153. The reversal of 653235056144 is 441650532356.

653235056144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 653235056095 and 653235056104.

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, 109105919 + ... + 109111905.

Almost surely, 2^653235056144 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 653235056144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693761632128).

653235056144 is an abundant number, since it is smaller than the sum of its proper divisors (734288208112).

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

653235056144 is a wasteful number, since it uses less digits than its factorization.

653235056144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8964 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 653235056144 in words is "six hundred fifty-three billion, two hundred thirty-five million, fifty-six thousand, one hundred forty-four".