1491761843712 has 1280 divisors, whose sum is σ = 5533588684800. Its totient is φ = 387341844480.

The previous prime is 1491761843701. The next prime is 1491761843723. The reversal of 1491761843712 is 2173481671941.

1491761843712 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 7 + 618 + 4 + 3 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1491761843701) and next prime (1491761843723).

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 127 ways as a sum of consecutive naturals, for example, 5271243123 + ... + 5271243405.

It is an arithmetic number, because the mean of its divisors is an integer number (4323116160).

Almost surely, 2^{1491761843712} is an apocalyptic number.

1491761843712 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 1491761843712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766794342400).

1491761843712 is an abundant number, since it is smaller than the sum of its proper divisors (4041826841088).

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

1491761843712 is a wasteful number, since it uses less digits than its factorization.

1491761843712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 422 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 1491761843712 in words is "one trillion, four hundred ninety-one billion, seven hundred sixty-one million, eight hundred forty-three thousand, seven hundred twelve".