1385186954976 has 144 divisors (see below), whose sum is σ = 4301155757808. Its totient is φ = 419369932800.

The previous prime is 1385186954959. The next prime is 1385186954989. The reversal of 1385186954976 is 6794596815831.

1385186954976 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 1 + 8 + 6 + 9 + 549 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3276006 + ... + 3674586.

It is an arithmetic number, because the mean of its divisors is an integer number (29869137207).

Almost surely, 2^{1385186954976} is an apocalyptic number.

1385186954976 is a gapful number since it is divisible by the number (16) 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 1385186954976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150577878904).

1385186954976 is an abundant number, since it is smaller than the sum of its proper divisors (2915968802832).

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

1385186954976 is a wasteful number, since it uses less digits than its factorization.

1385186954976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399705 (or 399694 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 1385186954976 in words is "one trillion, three hundred eighty-five billion, one hundred eighty-six million, nine hundred fifty-four thousand, nine hundred seventy-six".