20218476278016 has 243 divisors, whose sum is σ = 58886333377599. Its totient is φ = 6671792848896.

The previous prime is 20218476277943. The next prime is 20218476278047. The reversal of 20218476278016 is 61087267481202.

The square root of 20218476278016 is 4496496.

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

20218476278016 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 8 + 4 + 7 + 627 + 8 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6003284025600 + 14215192252416 = 2450160^2 + 3770304^2 .

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, 24388993890 + ... + 24388994718.

Almost surely, 2^{20218476278016} is an apocalyptic number.

20218476278016 is the 4496496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20218476278016

20218476278016 is an abundant number, since it is smaller than the sum of its proper divisors (38667857099583).

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

20218476278016 is an frugal number, since it uses more digits than its factorization.

20218476278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 20218476278016 in words is "twenty trillion, two hundred eighteen billion, four hundred seventy-six million, two hundred seventy-eight thousand, sixteen".