1388838408552 has 320 divisors, whose sum is σ = 4484987781120. Its totient is φ = 393322822272.

The previous prime is 1388838408539. The next prime is 1388838408569. The reversal of 1388838408552 is 2558048388831.

It is a happy number.

1388838408552 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 8 + 38 + 40 + 8 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1388838408552.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290124703 + ... + 290129489.

It is an arithmetic number, because the mean of its divisors is an integer number (14015586816).

Almost surely, 2^{1388838408552} is an apocalyptic number.

1388838408552 is a gapful number since it is divisible by the number (12) 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 1388838408552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242493890560).

1388838408552 is an abundant number, since it is smaller than the sum of its proper divisors (3096149372568).

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

1388838408552 is a wasteful number, since it uses less digits than its factorization.

1388838408552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 1388838408552 in words is "one trillion, three hundred eighty-eight billion, eight hundred thirty-eight million, four hundred eight thousand, five hundred fifty-two".