1388063281800 has 768 divisors, whose sum is σ = 4951995552000. Its totient is φ = 320721223680.

The previous prime is 1388063281799. The next prime is 1388063281817. The reversal of 1388063281800 is 81823608831.

It is a super-2 number, since 2×1388063281800² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1388063281800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3932190424 + ... + 3932190776.

It is an arithmetic number, because the mean of its divisors is an integer number (6447910875).

Almost surely, 2^{1388063281800} is an apocalyptic number.

1388063281800 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 1388063281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475997776000).

1388063281800 is an abundant number, since it is smaller than the sum of its proper divisors (3563932270200).

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

1388063281800 is a wasteful number, since it uses less digits than its factorization.

1388063281800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 1388063281800 in words is "one trillion, three hundred eighty-eight billion, sixty-three million, two hundred eighty-one thousand, eight hundred".