1388947500000 has 960 divisors, whose sum is σ = 5389685421120. Its totient is φ = 350892000000.

The previous prime is 1388947499983. The next prime is 1388947500001. The reversal of 1388947500000 is 57498831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1388947500000 is a `hidden beast` number, since 138 + 8 + 9 + 4 + 7 + 500 + 0 + 0 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 14250 × 8550 × 11400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388947500001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73102499991 + ... + 73102500009.

It is an arithmetic number, because the mean of its divisors is an integer number (5614255647).

Almost surely, 2^{1388947500000} is an apocalyptic number.

1388947500000 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 1388947500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694842710560).

1388947500000 is an abundant number, since it is smaller than the sum of its proper divisors (4000737921120).

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

1388947500000 is an frugal number, since it uses more digits than its factorization.

1388947500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1388947500000 in words is "one trillion, three hundred eighty-eight billion, nine hundred forty-seven million, five hundred thousand".