1377283586112 has 1008 divisors, whose sum is σ = 4968759257280. Its totient is φ = 362373709824.

The previous prime is 1377283586051. The next prime is 1377283586123. The reversal of 1377283586112 is 2116853827731.

1377283586112 is a `hidden beast` number, since 1 + 37 + 7 + 28 + 3 + 586 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7136184288 + ... + 7136184480.

It is an arithmetic number, because the mean of its divisors is an integer number (4929324660).

Almost surely, 2^{1377283586112} is an apocalyptic number.

1377283586112 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 1377283586112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484379628640).

1377283586112 is an abundant number, since it is smaller than the sum of its proper divisors (3591475671168).

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

1377283586112 is a wasteful number, since it uses less digits than its factorization.

1377283586112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 1377283586112 in words is "one trillion, three hundred seventy-seven billion, two hundred eighty-three million, five hundred eighty-six thousand, one hundred twelve".