30464381387520 has 2016 divisors, whose sum is σ = 124014089465280. Its totient is φ = 7120496885760.

The previous prime is 30464381387483. The next prime is 30464381387521. The reversal of 30464381387520 is 2578318346403.

It is a happy number.

30464381387520 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 4 + 3 + 81 + 38 + 7 + 520 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (30464381387521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18385262532 + ... + 18385264188.

It is an arithmetic number, because the mean of its divisors is an integer number (61514925330).

Almost surely, 2^{30464381387520} is an apocalyptic number.

30464381387520 is a gapful number since it is divisible by the number (30) 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 30464381387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62007044732640).

30464381387520 is an abundant number, since it is smaller than the sum of its proper divisors (93549708077760).

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

30464381387520 is a wasteful number, since it uses less digits than its factorization.

30464381387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 30464381387520 in words is "thirty trillion, four hundred sixty-four billion, three hundred eighty-one million, three hundred eighty-seven thousand, five hundred twenty".