1461122832384 has 288 divisors, whose sum is σ = 4333836648960. Its totient is φ = 474048626688.

The previous prime is 1461122832271. The next prime is 1461122832427. The reversal of 1461122832384 is 4832382211641.

1461122832384 is a `hidden beast` number, since 1 + 4 + 6 + 11 + 228 + 32 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124059904 + ... + 124071680.

It is an arithmetic number, because the mean of its divisors is an integer number (15048043920).

Almost surely, 2^{1461122832384} 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 1461122832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166918324480).

1461122832384 is an abundant number, since it is smaller than the sum of its proper divisors (2872713816576).

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

1461122832384 is a wasteful number, since it uses less digits than its factorization.

1461122832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11985 (or 11962 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 1461122832384 in words is "one trillion, four hundred sixty-one billion, one hundred twenty-two million, eight hundred thirty-two thousand, three hundred eighty-four".