1364746086144 has 432 divisors, whose sum is σ = 4738548622080. Its totient is φ = 369027809280.

The previous prime is 1364746086101. The next prime is 1364746086149. The reversal of 1364746086144 is 4416806474631.

1364746086144 is a `hidden beast` number, since 1 + 3 + 64 + 7 + 460 + 86 + 1 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364746086149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437276904 + ... + 437280024.

Almost surely, 2^{1364746086144} is an apocalyptic number.

1364746086144 is a gapful number since it is divisible by the number (14) 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 1364746086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369274311040).

1364746086144 is an abundant number, since it is smaller than the sum of its proper divisors (3373802535936).

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

1364746086144 is a wasteful number, since it uses less digits than its factorization.

1364746086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 1364746086144 in words is "one trillion, three hundred sixty-four billion, seven hundred forty-six million, eighty-six thousand, one hundred forty-four".