8414025984 has 675 divisors, whose sum is σ = 31693519473. Its totient is φ = 2219083776.

The previous prime is 8414025973. The next prime is 8414026021. The reversal of 8414025984 is 4895204148.

The square root of 8414025984 is 91728.

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

It can be written as a sum of positive squares in only one way, i.e., 1244678400 + 7169347584 = 35280^2 + 84672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 647232762 + ... + 647232774.

Almost surely, 2^8414025984 is an apocalyptic number.

8414025984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8414025984 is the 91728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8414025984

8414025984 is an abundant number, since it is smaller than the sum of its proper divisors (23279493489).

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

8414025984 is an frugal number, since it uses more digits than its factorization.

8414025984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The cubic root of 8414025984 is about 2033.9235097975.

The spelling of 8414025984 in words is "eight billion, four hundred fourteen million, twenty-five thousand, nine hundred eighty-four".