1613955456 has 192 divisors, whose sum is σ = 5071684800. Its totient is φ = 509483520.

The previous prime is 1613955451. The next prime is 1613955481. The reversal of 1613955456 is 6545593161.

1613955456 is a `hidden beast` number, since 1 + 6 + 13 + 95 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613955451) 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, 589611 + ... + 592341.

It is an arithmetic number, because the mean of its divisors is an integer number (26415025).

Almost surely, 2^1613955456 is an apocalyptic number.

1613955456 is a gapful number since it is divisible by the number (16) 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 1613955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535842400).

1613955456 is an abundant number, since it is smaller than the sum of its proper divisors (3457729344).

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

1613955456 is an equidigital number, since it uses as much as digits as its factorization.

1613955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2755 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 1613955456 is about 40174.0644695057. The cubic root of 1613955456 is about 1172.9977564206.

The spelling of 1613955456 in words is "one billion, six hundred thirteen million, nine hundred fifty-five thousand, four hundred fifty-six".