1351980446814 has 16 divisors (see below), whose sum is σ = 3004400993040. Its totient is φ = 450660148920.

The previous prime is 1351980446771. The next prime is 1351980446909. The reversal of 1351980446814 is 4186440891531.

1351980446814 is a `hidden beast` number, since 1 + 3 + 5 + 198 + 0 + 446 + 8 + 1 + 4 = 666.

It is a super-2 number, since 2×1351980446814² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 25036674941 = 1351980446814 / (1 + 3 + 5 + 1 + 9 + 8 + 0 + 4 + 4 + 6 + 8 + 1 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12518337417 + ... + 12518337524.

It is an arithmetic number, because the mean of its divisors is an integer number (187775062065).

Almost surely, 2^{1351980446814} is an apocalyptic number.

1351980446814 is an abundant number, since it is smaller than the sum of its proper divisors (1652420546226).

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

1351980446814 is a wasteful number, since it uses less digits than its factorization.

1351980446814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25036674952 (or 25036674946 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1351980446814 in words is "one trillion, three hundred fifty-one billion, nine hundred eighty million, four hundred forty-six thousand, eight hundred fourteen".