4198499352576 has 567 divisors, whose sum is σ = 13131560547469. Its totient is φ = 1292491554816.

The previous prime is 4198499352563. The next prime is 4198499352583. The reversal of 4198499352576 is 6752539948914.

The square root of 4198499352576 is 2049024.

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

4198499352576 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 4 + 9 + 93 + 525 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2201591218176 + 1996908134400 = 1483776^2 + 1413120^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

Its product of digits (587865600) is a multiple of the sum of its prime factors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144775839730 + ... + 144775839758.

Almost surely, 2^{4198499352576} is an apocalyptic number.

4198499352576 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4198499352576 is the 2049024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198499352576

4198499352576 is an abundant number, since it is smaller than the sum of its proper divisors (8933061194893).

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

4198499352576 is an frugal number, since it uses more digits than its factorization.

4198499352576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 57 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 4198499352576 in words is "four trillion, one hundred ninety-eight billion, four hundred ninety-nine million, three hundred fifty-two thousand, five hundred seventy-six".