1431345779136 has 168 divisors, whose sum is σ = 5049470016864. Its totient is φ = 377497774080.

The previous prime is 1431345779107. The next prime is 1431345779147. The reversal of 1431345779136 is 6319775431341.

It is a happy number.

1431345779136 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 34 + 577 + 9 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13601295 + ... + 13706126.

It is an arithmetic number, because the mean of its divisors is an integer number (30056369148).

Almost surely, 2^{1431345779136} is an apocalyptic number.

1431345779136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1431345779136 is an abundant number, since it is smaller than the sum of its proper divisors (3618124237728).

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

1431345779136 is a wasteful number, since it uses less digits than its factorization.

1431345779136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27307459 (or 27307446 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 1431345779136 in words is "one trillion, four hundred thirty-one billion, three hundred forty-five million, seven hundred seventy-nine thousand, one hundred thirty-six".