1413514996992 has 576 divisors, whose sum is σ = 5003299929600. Its totient is φ = 389903818752.

The previous prime is 1413514996991. The next prime is 1413514997071. The reversal of 1413514996992 is 2996994153141.

1413514996992 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 51 + 499 + 6 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413514996991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113647798 + ... + 113660234.

It is an arithmetic number, because the mean of its divisors is an integer number (8686284600).

Almost surely, 2^{1413514996992} is an apocalyptic number.

1413514996992 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 1413514996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501649964800).

1413514996992 is an abundant number, since it is smaller than the sum of its proper divisors (3589784932608).

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

1413514996992 is an frugal number, since it uses more digits than its factorization.

1413514996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12510 (or 12478 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 1413514996992 in words is "one trillion, four hundred thirteen billion, five hundred fourteen million, nine hundred ninety-six thousand, nine hundred ninety-two".