141147484416 has 135 divisors (see below), whose sum is σ = 421037638021. Its totient is φ = 47031128064.

The previous prime is 141147484409. The next prime is 141147484459. The reversal of 141147484416 is 614484741141.

The square root of 141147484416 is 375696.

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

141147484416 is a `hidden beast` number, since 14 + 1 + 147 + 4 + 84 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67858166016 + 73289318400 = 260496^2 + 270720^2 .

It is a super-2 number, since 2×141147484416² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 54098920 + ... + 54101528.

Almost surely, 2^141147484416 is an apocalyptic number.

141147484416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141147484416 is the 375696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141147484416

141147484416 is an abundant number, since it is smaller than the sum of its proper divisors (279890153605).

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

141147484416 is an frugal number, since it uses more digits than its factorization.

141147484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 2614 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 141147484416 in words is "one hundred forty-one billion, one hundred forty-seven million, four hundred eighty-four thousand, four hundred sixteen".