1541116368 has 200 divisors, whose sum is σ = 5152973760. Its totient is φ = 439464960.

The previous prime is 1541116337. The next prime is 1541116373. The reversal of 1541116368 is 8636111451.

It is a happy number.

1541116368 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 11 + 636 + 8 = 666.

It is a super-2 number, since 2×1541116368² = 4750079319435022848, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239173 + ... + 245531.

Almost surely, 2^1541116368 is an apocalyptic number.

1541116368 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 1541116368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576486880).

1541116368 is an abundant number, since it is smaller than the sum of its proper divisors (3611857392).

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

1541116368 is a wasteful number, since it uses less digits than its factorization.

1541116368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6392 counting only the distinct ones).

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

The square root of 1541116368 is about 39257.0550092592. The cubic root of 1541116368 is about 1155.0793266481.

The spelling of 1541116368 in words is "one billion, five hundred forty-one million, one hundred sixteen thousand, three hundred sixty-eight".