1361171824992 has 864 divisors, whose sum is σ = 4936946257152. Its totient is φ = 361209259008.

The previous prime is 1361171824913. The next prime is 1361171825021. The reversal of 1361171824992 is 2994281711631.

1361171824992 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 1 + 71 + 82 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×1361171824992³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 1041446803 + ... + 1041448109.

It is an arithmetic number, because the mean of its divisors is an integer number (5714058168).

Almost surely, 2^{1361171824992} is an apocalyptic number.

1361171824992 is a gapful number since it is divisible by the number (12) 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 1361171824992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468473128576).

1361171824992 is an abundant number, since it is smaller than the sum of its proper divisors (3575774432160).

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

1361171824992 is a wasteful number, since it uses less digits than its factorization.

1361171824992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1391 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 1361171824992 in words is "one trillion, three hundred sixty-one billion, one hundred seventy-one million, eight hundred twenty-four thousand, nine hundred ninety-two".