1383638718000 has 640 divisors, whose sum is σ = 5628743737344. Its totient is φ = 284037504000.

The previous prime is 1383638717977. The next prime is 1383638718019. The reversal of 1383638718000 is 8178363831.

It is a super-2 number, since 2×1383638718000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 38327959 + ... + 38364041.

Almost surely, 2^{1383638718000} is an apocalyptic number.

1383638718000 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 1383638718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814371868672).

1383638718000 is an abundant number, since it is smaller than the sum of its proper divisors (4245105019344).

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

1383638718000 is a wasteful number, since it uses less digits than its factorization.

1383638718000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36210 (or 36194 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1383638718000 in words is "one trillion, three hundred eighty-three billion, six hundred thirty-eight million, seven hundred eighteen thousand".