1383612088320 has 1360 divisors, whose sum is σ = 6193614354048. Its totient is φ = 287079137280.

The previous prime is 1383612088301. The next prime is 1383612088367. The reversal of 1383612088320 is 238802163831.

1383612088320 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 612 + 0 + 8 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2043739822 + ... + 2043740498.

Almost surely, 2^{1383612088320} is an apocalyptic number.

1383612088320 is a gapful number since it is divisible by the number (10) 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 1383612088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096807177024).

1383612088320 is an abundant number, since it is smaller than the sum of its proper divisors (4810002265728).

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

1383612088320 is an frugal number, since it uses more digits than its factorization.

1383612088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1383612088320 in words is "one trillion, three hundred eighty-three billion, six hundred twelve million, eighty-eight thousand, three hundred twenty".