30691450924992 has 3024 divisors, whose sum is σ = 120802269952000. Its totient is φ = 7370602905600.

The previous prime is 30691450924991. The next prime is 30691450925039. The reversal of 30691450924992 is 29942905419603.

30691450924992 is a `hidden beast` number, since 3 + 0 + 6 + 9 + 1 + 4 + 50 + 92 + 499 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30691450924991) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 154228396509 + ... + 154228396707.

Almost surely, 2^{30691450924992} is an apocalyptic number.

30691450924992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30691450924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60401134976000).

30691450924992 is an abundant number, since it is smaller than the sum of its proper divisors (90110819027008).

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

30691450924992 is a wasteful number, since it uses less digits than its factorization.

30691450924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 30691450924992 in words is "thirty trillion, six hundred ninety-one billion, four hundred fifty million, nine hundred twenty-four thousand, nine hundred ninety-two".