1645995456 has 252 divisors, whose sum is σ = 5680298520. Its totient is φ = 453841920.

The previous prime is 1645995451. The next prime is 1645995457. The reversal of 1645995456 is 6545995461.

1645995456 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 99 + 545 + 6 = 666.

1645995456 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645995451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 817491 + ... + 819501.

Almost surely, 2^1645995456 is an apocalyptic number.

1645995456 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 1645995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840149260).

1645995456 is an abundant number, since it is smaller than the sum of its proper divisors (4034303064).

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

1645995456 is a wasteful number, since it uses less digits than its factorization.

1645995456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2052 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 1645995456 is about 40570.8695494686. The cubic root of 1645995456 is about 1180.7090098878.

The spelling of 1645995456 in words is "one billion, six hundred forty-five million, nine hundred ninety-five thousand, four hundred fifty-six".