1385654144 has 128 divisors (see below), whose sum is σ = 3310104000. Its totient is φ = 577124352.

The previous prime is 1385654129. The next prime is 1385654167. The reversal of 1385654144 is 4414565831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624022 + ... + 1624874.

Almost surely, 2^1385654144 is an apocalyptic number.

1385654144 is a gapful number since it is divisible by the number (14) 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 1385654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655052000).

1385654144 is an abundant number, since it is smaller than the sum of its proper divisors (1924449856).

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

1385654144 is an frugal number, since it uses more digits than its factorization.

1385654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 899 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 1385654144 is about 37224.3756697141. The cubic root of 1385654144 is about 1114.8547322258.

The spelling of 1385654144 in words is "one billion, three hundred eighty-five million, six hundred fifty-four thousand, one hundred forty-four".