44516780100 has 243 divisors, whose sum is σ = 151374321189. Its totient is φ = 10937721600.

The previous prime is 44516780093. The next prime is 44516780129. The reversal of 44516780100 is 108761544.

It is a happy number.

The square root of 44516780100 is 210990.

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

It can be written as a sum of positive squares in 13 ways, for example, as 43529815044 + 986965056 = 208638^2 + 31416^2 .

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 80 ways as a sum of consecutive naturals, for example, 82285830 + ... + 82286370.

Almost surely, 2^44516780100 is an apocalyptic number.

44516780100 is the 210990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44516780100

44516780100 is an abundant number, since it is smaller than the sum of its proper divisors (106857541089).

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

44516780100 is a wasteful number, since it uses less digits than its factorization.

44516780100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 44516780100 by its sum of digits (36), we get a square (1602604083600 = 1265940²).

44516780100 divided by its sum of digits (36) gives a square (1236577225 = 35165²).

The spelling of 44516780100 in words is "forty-four billion, five hundred sixteen million, seven hundred eighty thousand, one hundred".