2065148198208 has 672 divisors, whose sum is σ = 6772445809920. Its totient is φ = 623446585344.

The previous prime is 2065148198173. The next prime is 2065148198233. The reversal of 2065148198208 is 8028918415602.

2065148198208 is a `hidden beast` number, since 2 + 0 + 6 + 51 + 481 + 98 + 20 + 8 = 666.

It is a super-2 number, since 2×2065148198208² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1162153416 + ... + 1162155192.

It is an arithmetic number, because the mean of its divisors is an integer number (10078044360).

Almost surely, 2^{2065148198208} 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 2065148198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386222904960).

2065148198208 is an abundant number, since it is smaller than the sum of its proper divisors (4707297611712).

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

2065148198208 is an equidigital number, since it uses as much as digits as its factorization.

2065148198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 2065148198208 in words is "two trillion, sixty-five billion, one hundred forty-eight million, one hundred ninety-eight thousand, two hundred eight".