30701745004896 has 384 divisors, whose sum is σ = 108642161295360. Its totient is φ = 8234364911616.

The previous prime is 30701745004807. The next prime is 30701745004907. The reversal of 30701745004896 is 69840054710703.

30701745004896 is a `hidden beast` number, since 3 + 0 + 7 + 0 + 1 + 7 + 4 + 500 + 48 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38988700 + ... + 39768356.

It is an arithmetic number, because the mean of its divisors is an integer number (282922295040).

Almost surely, 2^{30701745004896} is an apocalyptic number.

30701745004896 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 30701745004896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54321080647680).

30701745004896 is an abundant number, since it is smaller than the sum of its proper divisors (77940416290464).

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

30701745004896 is a wasteful number, since it uses less digits than its factorization.

30701745004896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780083 (or 780069 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 30701745004896 in words is "thirty trillion, seven hundred one billion, seven hundred forty-five million, four thousand, eight hundred ninety-six".