1388772200448 has 364 divisors, whose sum is σ = 4235015009520. Its totient is φ = 455020167168.

The previous prime is 1388772200447. The next prime is 1388772200503. The reversal of 1388772200448 is 8440022778831.

1388772200448 is a `hidden beast` number, since 1 + 38 + 87 + 72 + 20 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1388772200394 and 1388772200403.

It is not an unprimeable number, because it can be changed into a prime (1388772200447) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 176169115 + ... + 176176997.

Almost surely, 2^{1388772200448} is an apocalyptic number.

1388772200448 is a gapful number since it is divisible by the number (18) 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 1388772200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117507504760).

1388772200448 is an abundant number, since it is smaller than the sum of its proper divisors (2846242809072).

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

1388772200448 is an frugal number, since it uses more digits than its factorization.

1388772200448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 1388772200448 in words is "one trillion, three hundred eighty-eight billion, seven hundred seventy-two million, two hundred thousand, four hundred forty-eight".