1541451648 has 128 divisors (see below), whose sum is σ = 4528800000. Its totient is φ = 460615680.

The previous prime is 1541451631. The next prime is 1541451649. The reversal of 1541451648 is 8461541451.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541451649) 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, 305853 + ... + 310851.

It is an arithmetic number, because the mean of its divisors is an integer number (35381250).

Almost surely, 2^1541451648 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 1541451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264400000).

1541451648 is an abundant number, since it is smaller than the sum of its proper divisors (2987348352).

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

1541451648 is a wasteful number, since it uses less digits than its factorization.

1541451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5088 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 1541451648 is about 39261.3250922584. The cubic root of 1541451648 is about 1155.1630856087.

The spelling of 1541451648 in words is "one billion, five hundred forty-one million, four hundred fifty-one thousand, six hundred forty-eight".