4456760098816 has 45 divisors (see below), whose sum is σ = 8913788637481. Its totient is φ = 2228244938752.

The previous prime is 4456760098789. The next prime is 4456760098823. The reversal of 4456760098816 is 6188900676544.

The square root of 4456760098816 is 2111104.

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., 120770150400 + 4335989948416 = 347520^2 + 2082304^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 270213066 + ... + 270229558.

Almost surely, 2^{4456760098816} is an apocalyptic number.

4456760098816 is the 2111104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4456760098816

4456760098816 is an abundant number, since it is smaller than the sum of its proper divisors (4457028538665).

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

4456760098816 is an frugal number, since it uses more digits than its factorization.

4456760098816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33014 (or 16495 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

Multiplying 4456760098816 by its sum of digits (64), we get a square (285232646324224 = 16888832²).

4456760098816 divided by its sum of digits (64) gives a square (69636876544 = 263888²).

The spelling of 4456760098816 in words is "four trillion, four hundred fifty-six billion, seven hundred sixty million, ninety-eight thousand, eight hundred sixteen".