653551112016 has 480 divisors, whose sum is σ = 2150385509376. Its totient is φ = 183389184000.

The previous prime is 653551111999. The next prime is 653551112017. The reversal of 653551112016 is 610211155356.

653551112016 is a `hidden beast` number, since 6 + 5 + 3 + 5 + 511 + 120 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653551112017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110824780 + ... + 110830676.

Almost surely, 2^653551112016 is an apocalyptic number.

653551112016 is a gapful number since it is divisible by the number (66) 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 653551112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075192754688).

653551112016 is an abundant number, since it is smaller than the sum of its proper divisors (1496834397360).

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

653551112016 is a wasteful number, since it uses less digits than its factorization.

653551112016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

It can be divided in two parts, 653551 and 112016, that added together give a palindrome (765567).

The spelling of 653551112016 in words is "six hundred fifty-three billion, five hundred fifty-one million, one hundred twelve thousand, sixteen".