1547526048016 has 135 divisors (see below), whose sum is σ = 3323793039951. Its totient is φ = 697672764672.

The previous prime is 1547526048001. The next prime is 1547526048041. The reversal of 1547526048016 is 6108406257451.

The square root of 1547526048016 is 1243996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4206819600 + 1543319228416 = 64860^2 + 1242304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3040325970 + ... + 3040326478.

Almost surely, 2^{1547526048016} is an apocalyptic number.

1547526048016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1547526048016 is the 1243996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1547526048016

1547526048016 is an abundant number, since it is smaller than the sum of its proper divisors (1776266991935).

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

1547526048016 is an frugal number, since it uses more digits than its factorization.

1547526048016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 1547526048016 by its sum of digits (49), we get a square (75828776352784 = 8707972²).

The spelling of 1547526048016 in words is "one trillion, five hundred forty-seven billion, five hundred twenty-six million, forty-eight thousand, sixteen".