1377743565312 has 960 divisors, whose sum is σ = 4684061986560. Its totient is φ = 397419872256.

The previous prime is 1377743565311. The next prime is 1377743565347. The reversal of 1377743565312 is 2135653477731.

1377743565312 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 7 + 43 + 565 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11113200) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (1377743565311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16599320023 + ... + 16599320105.

It is an arithmetic number, because the mean of its divisors is an integer number (4879231236).

Almost surely, 2^{1377743565312} is an apocalyptic number.

1377743565312 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 1377743565312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342030993280).

1377743565312 is an abundant number, since it is smaller than the sum of its proper divisors (3306318421248).

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

1377743565312 is an equidigital number, since it uses as much as digits as its factorization.

1377743565312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 165 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 1377743565312 in words is "one trillion, three hundred seventy-seven billion, seven hundred forty-three million, five hundred sixty-five thousand, three hundred twelve".