653714938752 has 128 divisors (see below), whose sum is σ = 1831744886400. Its totient is φ = 205993175040.

The previous prime is 653714938711. The next prime is 653714938757. The reversal of 653714938752 is 257839417356.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×653714938752² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653714938757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3311302 + ... + 3503162.

It is an arithmetic number, because the mean of its divisors is an integer number (14310506925).

Almost surely, 2^653714938752 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 653714938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915872443200).

653714938752 is an abundant number, since it is smaller than the sum of its proper divisors (1178029947648).

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

653714938752 is a wasteful number, since it uses less digits than its factorization.

653714938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192364 (or 192352 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 60.

The spelling of 653714938752 in words is "six hundred fifty-three billion, seven hundred fourteen million, nine hundred thirty-eight thousand, seven hundred fifty-two".