31047849616 has 225 divisors, whose sum is σ = 75100392393. Its totient is φ = 12432954240.

The previous prime is 31047849611. The next prime is 31047849617. The reversal of 31047849616 is 61694874013.

The square root of 31047849616 is 176204.

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., 16280739216 + 14767110400 = 127596^2 + 121520^2 .

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 31047849616.

It is not an unprimeable number, because it can be changed into a prime (31047849611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1001543521 + ... + 1001543551.

Almost surely, 2^31047849616 is an apocalyptic number.

31047849616 is the 176204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31047849616

31047849616 is an abundant number, since it is smaller than the sum of its proper divisors (44052542777).

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

31047849616 is an frugal number, since it uses more digits than its factorization.

31047849616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 31047849616 by its sum of digits (49), we get a square (1521344631184 = 1233428²).

31047849616 divided by its sum of digits (49) gives a square (633629584 = 25172²).

The spelling of 31047849616 in words is "thirty-one billion, forty-seven million, eight hundred forty-nine thousand, six hundred sixteen".