30999773249536 has 459 divisors, whose sum is σ = 78424051034961. Its totient is φ = 12212334231552.

The previous prime is 30999773249521. The next prime is 30999773249537. The reversal of 30999773249536 is 63594237799903.

The square root of 30999773249536 is 5567744.

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., 4585765273600 + 26414007975936 = 2141440^2 + 5139456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30999773249537) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129706164105 + ... + 129706164343.

Almost surely, 2^{30999773249536} is an apocalyptic number.

30999773249536 is the 5567744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30999773249536

30999773249536 is an abundant number, since it is smaller than the sum of its proper divisors (47424277785425).

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

30999773249536 is an frugal number, since it uses more digits than its factorization.

30999773249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2083248720, while the sum is 76.

The spelling of 30999773249536 in words is "thirty trillion, nine hundred ninety-nine billion, seven hundred seventy-three million, two hundred forty-nine thousand, five hundred thirty-six".