1634941468656 has 400 divisors, whose sum is σ = 5193782719488. Its totient is φ = 496326528000.

The previous prime is 1634941468627. The next prime is 1634941468679. The reversal of 1634941468656 is 6568641494361.

1634941468656 is a `hidden beast` number, since 1 + 6 + 3 + 494 + 14 + 6 + 86 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1634941468593 and 1634941468602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165962131 + ... + 165971981.

Almost surely, 2^{1634941468656} is an apocalyptic number.

1634941468656 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 1634941468656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596891359744).

1634941468656 is an abundant number, since it is smaller than the sum of its proper divisors (3558841250832).

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

1634941468656 is an frugal number, since it uses more digits than its factorization.

1634941468656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9934 (or 9904 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 1634941468656 in words is "one trillion, six hundred thirty-four billion, nine hundred forty-one million, four hundred sixty-eight thousand, six hundred fifty-six".