4493357020516 has 243 divisors, whose sum is σ = 10470778211691. Its totient is φ = 1681287124608.

The previous prime is 4493357020487. The next prime is 4493357020517. The reversal of 4493357020516 is 6150207533944.

The square root of 4493357020516 is 2119754.

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 3636473558116 + 856883462400 = 1906954^2 + 925680^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 4493357020516.

It is not an unprimeable number, because it can be changed into a prime (4493357020517) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7330109026 + ... + 7330109638.

Almost surely, 2^{4493357020516} is an apocalyptic number.

4493357020516 is the 2119754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4493357020516

4493357020516 is an abundant number, since it is smaller than the sum of its proper divisors (5977421191175).

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

4493357020516 is a wasteful number, since it uses less digits than its factorization.

4493357020516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 4493357020516 by its sum of digits (49), we get a square (220174494005284 = 14838278²).

4493357020516 divided by its sum of digits (49) gives a square (91701163684 = 302822²).

The spelling of 4493357020516 in words is "four trillion, four hundred ninety-three billion, three hundred fifty-seven million, twenty thousand, five hundred sixteen".