2805646491648 has 1512 divisors, whose sum is σ = 11371054711744. Its totient is φ = 672682475520.

The previous prime is 2805646491619. The next prime is 2805646491649. The reversal of 2805646491648 is 8461946465082.

2805646491648 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 6 + 464 + 9 + 164 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2805646491649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215818960890 + ... + 215818960902.

Almost surely, 2^{2805646491648} is an apocalyptic number.

2805646491648 is a gapful number since it is divisible by the number (28) 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 2805646491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685527355872).

2805646491648 is an abundant number, since it is smaller than the sum of its proper divisors (8565408220096).

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

2805646491648 is an frugal number, since it uses more digits than its factorization.

2805646491648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 2805646491648 in words is "two trillion, eight hundred five billion, six hundred forty-six million, four hundred ninety-one thousand, six hundred forty-eight".