1541148672 has 416 divisors, whose sum is σ = 5284177920. Its totient is φ = 389283840.

The previous prime is 1541148667. The next prime is 1541148677. The reversal of 1541148672 is 2768411451.

It is an interprime number because it is at equal distance from previous prime (1541148667) and next prime (1541148677).

It is a self number, because there is not a number n which added to its sum of digits gives 1541148672.

It is not an unprimeable number, because it can be changed into a prime (1541148677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37588972 + ... + 37589012.

Almost surely, 2^1541148672 is an apocalyptic number.

1541148672 is a gapful number since it is divisible by the number (12) 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 1541148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642088960).

1541148672 is an abundant number, since it is smaller than the sum of its proper divisors (3743029248).

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

1541148672 is a wasteful number, since it uses less digits than its factorization.

1541148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 1541148672 is about 39257.4664490718. The cubic root of 1541148672 is about 1155.0873972958.

The spelling of 1541148672 in words is "one billion, five hundred forty-one million, one hundred forty-eight thousand, six hundred seventy-two".