30465719219776 has 63 divisors (see below), whose sum is σ = 63806498983521. Its totient is φ = 14430732747264.

The previous prime is 30465719219773. The next prime is 30465719219797. The reversal of 30465719219776 is 67791291756403.

The square root of 30465719219776 is 5519576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3895570638400 + 26570148581376 = 1973720^2 + 5154624^2 .

It is a super-4 number, since 4×30465719219776⁴ (a number of 55 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30465719219773) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 838957396 + ... + 838993708.

It is an arithmetic number, because the mean of its divisors is an integer number (1012801571167).

Almost surely, 2^{30465719219776} is an apocalyptic number.

30465719219776 is the 5519576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30465719219776

30465719219776 is an abundant number, since it is smaller than the sum of its proper divisors (33340779763745).

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

30465719219776 is an frugal number, since it uses more digits than its factorization.

30465719219776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72676 (or 36334 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 67.

The spelling of 30465719219776 in words is "thirty trillion, four hundred sixty-five billion, seven hundred nineteen million, two hundred nineteen thousand, seven hundred seventy-six".