1653461568 has 168 divisors, whose sum is σ = 5205167136. Its totient is φ = 497664000.

The previous prime is 1653461549. The next prime is 1653461569. The reversal of 1653461568 is 8651643561.

1653461568 is a `hidden beast` number, since 1 + 6 + 534 + 61 + 56 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1653461569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031968 + ... + 1033568.

Almost surely, 2^1653461568 is an apocalyptic number.

1653461568 is a gapful number since it is divisible by the number (18) 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 1653461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602583568).

1653461568 is an abundant number, since it is smaller than the sum of its proper divisors (3551705568).

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

1653461568 is a wasteful number, since it uses less digits than its factorization.

1653461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1780 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1653461568 is about 40662.7786556699. The cubic root of 1653461568 is about 1182.4915200074.

The spelling of 1653461568 in words is "one billion, six hundred fifty-three million, four hundred sixty-one thousand, five hundred sixty-eight".