10220144034816 has 99 divisors (see below), whose sum is σ = 29511330308733. Its totient is φ = 3406612377600.

The previous prime is 10220144034773. The next prime is 10220144034829. The reversal of 10220144034816 is 61843044102201.

The square root of 10220144034816 is 3196896.

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

10220144034816 is a `hidden beast` number, since 1 + 0 + 2 + 201 + 4 + 403 + 48 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6843958281216 + 3376185753600 = 2616096^2 + 1837440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 306885366 + ... + 306918666.

Almost surely, 2^{10220144034816} is an apocalyptic number.

10220144034816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10220144034816 is the 3196896-th square number.

It is an amenable number.

10220144034816 is an abundant number, since it is smaller than the sum of its proper divisors (19291186273917).

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

10220144034816 is an frugal number, since it uses more digits than its factorization.

10220144034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66628 (or 33306 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 10220144034816 by its sum of digits (36), we get a square (367925185253376 = 19181376²).

10220144034816 divided by its sum of digits (36) gives a square (283892889856 = 532816²).

The spelling of 10220144034816 in words is "ten trillion, two hundred twenty billion, one hundred forty-four million, thirty-four thousand, eight hundred sixteen".