1832532100416 has 84 divisors (see below), whose sum is σ = 5260667303892. Its totient is φ = 609908465664.

The previous prime is 1832532100409. The next prime is 1832532100457. The reversal of 1832532100416 is 6140012352381.

1832532100416 is a `hidden beast` number, since 1 + 8 + 3 + 2 + 532 + 100 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 582840633600 + 1249691466816 = 763440^2 + 1117896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2059921 + ... + 2812176.

It is an arithmetic number, because the mean of its divisors is an integer number (62626991713).

Almost surely, 2^{1832532100416} is an apocalyptic number.

1832532100416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1832532100416 is an abundant number, since it is smaller than the sum of its proper divisors (3428135203476).

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

1832532100416 is a wasteful number, since it uses less digits than its factorization.

1832532100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872768 (or 4872755 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 1832532100416 its reverse (6140012352381), we get a palindrome (7972544452797).

The spelling of 1832532100416 in words is "one trillion, eight hundred thirty-two billion, five hundred thirty-two million, one hundred thousand, four hundred sixteen".