1364686848 has 216 divisors, whose sum is σ = 4588005240. Its totient is φ = 389652480.

The previous prime is 1364686801. The next prime is 1364686879. The reversal of 1364686848 is 8486864631.

1364686848 is a `hidden beast` number, since 136 + 468 + 6 + 8 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1364686794 and 1364686803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902413 + ... + 903923.

It is an arithmetic number, because the mean of its divisors is an integer number (21240765).

Almost surely, 2^1364686848 is an apocalyptic number.

1364686848 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 1364686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294002620).

1364686848 is an abundant number, since it is smaller than the sum of its proper divisors (3223318392).

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

1364686848 is a wasteful number, since it uses less digits than its factorization.

1364686848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1523 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 1364686848 is about 36941.6681810662. The cubic root of 1364686848 is about 1109.2029144838.

The spelling of 1364686848 in words is "one billion, three hundred sixty-four million, six hundred eighty-six thousand, eight hundred forty-eight".