1290649205664 has 384 divisors, whose sum is σ = 4782563573760. Its totient is φ = 329410022400.

The previous prime is 1290649205627. The next prime is 1290649205669. The reversal of 1290649205664 is 4665029460921.

1290649205664 is a `hidden beast` number, since 1 + 2 + 90 + 6 + 492 + 0 + 5 + 6 + 64 = 666.

It is a super-2 number, since 2×1290649205664² (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 self number, because there is not a number n which added to its sum of digits gives 1290649205664.

It is not an unprimeable number, because it can be changed into a prime (1290649205669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2172579 + ... + 2702109.

It is an arithmetic number, because the mean of its divisors is an integer number (12454592640).

Almost surely, 2^{1290649205664} is an apocalyptic number.

1290649205664 is a gapful number since it is divisible by the number (14) 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 1290649205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391281786880).

1290649205664 is an abundant number, since it is smaller than the sum of its proper divisors (3491914368096).

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

1290649205664 is a wasteful number, since it uses less digits than its factorization.

1290649205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529601 (or 529587 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1290649205664 in words is "one trillion, two hundred ninety billion, six hundred forty-nine million, two hundred five thousand, six hundred sixty-four".