1461971346792 has 128 divisors (see below), whose sum is σ = 4080546201600. Its totient is φ = 432688659200.

The previous prime is 1461971346779. The next prime is 1461971346793. The reversal of 1461971346792 is 2976431791641.

It is not an unprimeable number, because it can be changed into a prime (1461971346793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5820442 + ... + 6066422.

It is an arithmetic number, because the mean of its divisors is an integer number (31879267200).

Almost surely, 2^{1461971346792} is an apocalyptic number.

1461971346792 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 1461971346792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040273100800).

1461971346792 is an abundant number, since it is smaller than the sum of its proper divisors (2618574854808).

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

1461971346792 is a wasteful number, since it uses less digits than its factorization.

1461971346792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246527 (or 246523 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 60.

The spelling of 1461971346792 in words is "one trillion, four hundred sixty-one billion, nine hundred seventy-one million, three hundred forty-six thousand, seven hundred ninety-two".