8830049971600 has 405 divisors, whose sum is σ = 25274082986019. Its totient is φ = 2961080179200.

The previous prime is 8830049971571. The next prime is 8830049971627. The reversal of 8830049971600 is 61799400388.

The square root of 8830049971600 is 2971540.

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 2275958442384 + 6554091529216 = 1508628^2 + 2560096^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8498603881 + ... + 8498604919.

Almost surely, 2^{8830049971600} is an apocalyptic number.

8830049971600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8830049971600 is the 2971540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8830049971600

8830049971600 is an abundant number, since it is smaller than the sum of its proper divisors (16444033014419).

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

8830049971600 is a wasteful number, since it uses less digits than its factorization.

8830049971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 8830049971600 in words is "eight trillion, eight hundred thirty billion, forty-nine million, nine hundred seventy-one thousand, six hundred".