2046657489408 has 1440 divisors, whose sum is σ = 7734145161600. Its totient is φ = 518924206080.

The previous prime is 2046657489353. The next prime is 2046657489413. The reversal of 2046657489408 is 8049847566402.

2046657489408 is a `hidden beast` number, since 2 + 0 + 4 + 66 + 57 + 489 + 40 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9699798423 + ... + 9699798633.

It is an arithmetic number, because the mean of its divisors is an integer number (5370934140).

Almost surely, 2^{2046657489408} is an apocalyptic number.

2046657489408 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 2046657489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867072580800).

2046657489408 is an abundant number, since it is smaller than the sum of its proper divisors (5687487672192).

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

2046657489408 is a wasteful number, since it uses less digits than its factorization.

2046657489408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2046657489408 in words is "two trillion, forty-six billion, six hundred fifty-seven million, four hundred eighty-nine thousand, four hundred eight".