1413161568 has 216 divisors, whose sum is σ = 5035041648. Its totient is φ = 372653568.

The previous prime is 1413161557. The next prime is 1413161579. The reversal of 1413161568 is 8651613141.

It is a happy number.

1413161568 is a `hidden beast` number, since 1 + 4 + 1 + 31 + 61 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (1413161557) and next prime (1413161579).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 179605 + ... + 187307.

It is an arithmetic number, because the mean of its divisors is an integer number (23310378).

Almost surely, 2^1413161568 is an apocalyptic number.

1413161568 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 1413161568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517520824).

1413161568 is an abundant number, since it is smaller than the sum of its proper divisors (3621880080).

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

1413161568 is a wasteful number, since it uses less digits than its factorization.

1413161568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7728 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1413161568 is about 37592.0412853572. The cubic root of 1413161568 is about 1122.1836564395.

It can be divided in two parts, 141316 and 1568, that added together give a square (142884 = 378²).

The spelling of 1413161568 in words is "one billion, four hundred thirteen million, one hundred sixty-one thousand, five hundred sixty-eight".