1541101968 has 60 divisors (see below), whose sum is σ = 4929083328. Its totient is φ = 440314560.

The previous prime is 1541101967. The next prime is 1541101979. The reversal of 1541101968 is 8691011451.

It is a happy number.

1541101968 is a `hidden beast` number, since 1 + 541 + 101 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1541101967) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 763428 + ... + 765443.

Almost surely, 2^1541101968 is an apocalyptic number.

1541101968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1541101968 is an abundant number, since it is smaller than the sum of its proper divisors (3387981360).

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

1541101968 is a wasteful number, since it uses less digits than its factorization.

1541101968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528892 (or 1528883 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1541101968 is about 39256.8716023068. The cubic root of 1541101968 is about 1155.0757289976.

The spelling of 1541101968 in words is "one billion, five hundred forty-one million, one hundred one thousand, nine hundred sixty-eight".