541151544 has 64 divisors (see below), whose sum is σ = 1415232000. Its totient is φ = 172109696.

The previous prime is 541151543. The next prime is 541151551. The reversal of 541151544 is 445151145.

It is a super-4 number, since 4×541151544⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541151543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276682 + ... + 278630.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 2^541151544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541151544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

541151544 is an abundant number, since it is smaller than the sum of its proper divisors (874080456).

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

541151544 is a wasteful number, since it uses less digits than its factorization.

541151544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2480 counting only the distinct ones).

The product of its digits is 8000, while the sum is 30.

The square root of 541151544 is about 23262.6641638485. The cubic root of 541151544 is about 814.9037205447.

The spelling of 541151544 in words is "five hundred forty-one million, one hundred fifty-one thousand, five hundred forty-four".