1632113444556 has 216 divisors, whose sum is σ = 4837903447104. Its totient is φ = 462571845120.

The previous prime is 1632113444551. The next prime is 1632113444561. The reversal of 1632113444556 is 6554443112361.

1632113444556 is a `hidden beast` number, since 1 + 6 + 3 + 21 + 1 + 34 + 44 + 556 = 666.

It is an interprime number because it is at equal distance from previous prime (1632113444551) and next prime (1632113444561).

It is not an unprimeable number, because it can be changed into a prime (1632113444551) 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, 111376926 + ... + 111391578.

It is an arithmetic number, because the mean of its divisors is an integer number (22397701144).

Almost surely, 2^{1632113444556} 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 1632113444556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418951723552).

1632113444556 is an abundant number, since it is smaller than the sum of its proper divisors (3205790002548).

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

1632113444556 is a wasteful number, since it uses less digits than its factorization.

1632113444556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15181 (or 15169 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 1632113444556 in words is "one trillion, six hundred thirty-two billion, one hundred thirteen million, four hundred forty-four thousand, five hundred fifty-six".