1676455248400 has 135 divisors (see below), whose sum is σ = 4130932096263. Its totient is φ = 653812108800.

The previous prime is 1676455248389. The next prime is 1676455248407. The reversal of 1676455248400 is 48425546761.

The square root of 1676455248400 is 1294780.

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 705647040784 + 970808207616 = 840028^2 + 985296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1676455248407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1061718811 + ... + 1061720389.

Almost surely, 2^{1676455248400} is an apocalyptic number.

1676455248400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1676455248400 is the 1294780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1676455248400

1676455248400 is an abundant number, since it is smaller than the sum of its proper divisors (2454476847863).

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

1676455248400 is an frugal number, since it uses more digits than its factorization.

1676455248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 1676455248400 in words is "one trillion, six hundred seventy-six billion, four hundred fifty-five million, two hundred forty-eight thousand, four hundred".