653950136448 has 768 divisors, whose sum is σ = 2326037212800. Its totient is φ = 180220723200.

The previous prime is 653950136429. The next prime is 653950136509. The reversal of 653950136448 is 844631059356.

653950136448 is a `hidden beast` number, since 6 + 5 + 39 + 501 + 3 + 64 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 653950136394 and 653950136403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673480603 + ... + 673481573.

Almost surely, 2^653950136448 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 653950136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163018606400).

653950136448 is an abundant number, since it is smaller than the sum of its proper divisors (1672087076352).

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

653950136448 is a wasteful number, since it uses less digits than its factorization.

653950136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 653950136448 in words is "six hundred fifty-three billion, nine hundred fifty million, one hundred thirty-six thousand, four hundred forty-eight".