1385201664 has 384 divisors, whose sum is σ = 5070836160. Its totient is φ = 353894400.

The previous prime is 1385201651. The next prime is 1385201683. The reversal of 1385201664 is 4661025831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22708194 + ... + 22708254.

Almost surely, 2^1385201664 is an apocalyptic number.

1385201664 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 1385201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535418080).

1385201664 is an abundant number, since it is smaller than the sum of its proper divisors (3685634496).

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

1385201664 is an equidigital number, since it uses as much as digits as its factorization.

1385201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1385201664 is about 37218.2974355357. The cubic root of 1385201664 is about 1114.7333685147.

The spelling of 1385201664 in words is "one billion, three hundred eighty-five million, two hundred one thousand, six hundred sixty-four".