30464023919616 has 880 divisors, whose sum is σ = 105464680744896. Its totient is φ = 8579546873856.

The previous prime is 30464023919611. The next prime is 30464023919627. The reversal of 30464023919616 is 61691932046403.

It is a happy number.

30464023919616 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 4 + 0 + 2 + 3 + 9 + 19 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30464023919611) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12924913510 + ... + 12924915866.

Almost surely, 2^{30464023919616} is an apocalyptic number.

30464023919616 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 30464023919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52732340372448).

30464023919616 is an abundant number, since it is smaller than the sum of its proper divisors (75000656825280).

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

30464023919616 is a wasteful number, since it uses less digits than its factorization.

30464023919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 30464023919616 in words is "thirty trillion, four hundred sixty-four billion, twenty-three million, nine hundred nineteen thousand, six hundred sixteen".