1364341968 has 480 divisors, whose sum is σ = 4809692160. Its totient is φ = 369515520.

The previous prime is 1364341943. The next prime is 1364342039. The reversal of 1364341968 is 8691434631.

1364341968 is a `hidden beast` number, since 136 + 43 + 419 + 68 = 666.

It is a Cunningham number, because it is equal to 36937²-1.

It is a super-2 number, since 2×1364341968² = 3722858011292226048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18689580 + ... + 18689652.

It is an arithmetic number, because the mean of its divisors is an integer number (10020192).

Almost surely, 2^1364341968 is an apocalyptic number.

1364341968 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 1364341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404846080).

1364341968 is an abundant number, since it is smaller than the sum of its proper divisors (3445350192).

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

1364341968 is a wasteful number, since it uses less digits than its factorization.

1364341968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1364341968 is about 36936.9999864634. Note that the first 4 decimals coincide. The cubic root of 1364341968 is about 1109.1094683497.

It can be divided in two parts, 13643 and 41968, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 1364341968 in words is "one billion, three hundred sixty-four million, three hundred forty-one thousand, nine hundred sixty-eight".