30769493229216 has 864 divisors, whose sum is σ = 109307437424640. Its totient is φ = 8020134549504.

The previous prime is 30769493229179. The next prime is 30769493229253. The reversal of 30769493229216 is 61292239496703.

30769493229216 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 94 + 9 + 322 + 9 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (30769493229179) and next prime (30769493229253).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14914925401 + ... + 14914927463.

It is an arithmetic number, because the mean of its divisors is an integer number (126513237760).

Almost surely, 2^{30769493229216} is an apocalyptic number.

30769493229216 is a gapful number since it is divisible by the number (36) 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 30769493229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54653718712320).

30769493229216 is an abundant number, since it is smaller than the sum of its proper divisors (78537944195424).

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

30769493229216 is a wasteful number, since it uses less digits than its factorization.

30769493229216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 30769493229216 in words is "thirty trillion, seven hundred sixty-nine billion, four hundred ninety-three million, two hundred twenty-nine thousand, two hundred sixteen".