1388342581632 has 320 divisors, whose sum is σ = 4164380866800. Its totient is φ = 459131867136.

The previous prime is 1388342581627. The next prime is 1388342581687. The reversal of 1388342581632 is 2361852438831.

1388342581632 is a `hidden beast` number, since 1 + 3 + 8 + 83 + 425 + 81 + 63 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1583058378 + ... + 1583059254.

Almost surely, 2^{1388342581632} is an apocalyptic number.

1388342581632 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 1388342581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082190433400).

1388342581632 is an abundant number, since it is smaller than the sum of its proper divisors (2776038285168).

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

1388342581632 is an equidigital number, since it uses as much as digits as its factorization.

1388342581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1914 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 1388342581632 in words is "one trillion, three hundred eighty-eight billion, three hundred forty-two million, five hundred eighty-one thousand, six hundred thirty-two".