30189414670464 has 768 divisors, whose sum is σ = 102408994344960. Its totient is φ = 7688605040640.

The previous prime is 30189414670427. The next prime is 30189414670573. The reversal of 30189414670464 is 46407641498103.

It is a super-2 number, since 2×30189414670464² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2063943919 + ... + 2063958545.

It is an arithmetic number, because the mean of its divisors is an integer number (133345044720).

Almost surely, 2^{30189414670464} is an apocalyptic number.

30189414670464 is a gapful number since it is divisible by the number (34) 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 30189414670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51204497172480).

30189414670464 is an abundant number, since it is smaller than the sum of its proper divisors (72219579674496).

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

30189414670464 is a wasteful number, since it uses less digits than its factorization.

30189414670464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14777 (or 14734 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 30189414670464 in words is "thirty trillion, one hundred eighty-nine billion, four hundred fourteen million, six hundred seventy thousand, four hundred sixty-four".