30514416514461 has 48 divisors (see below), whose sum is σ = 49146337992960. Its totient is φ = 18085374322560.

The previous prime is 30514416514411. The next prime is 30514416514501. The reversal of 30514416514461 is 16441561441503.

30514416514461 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 44 + 165 + 1 + 446 + 1 = 666.

It is not a de Polignac number, because 30514416514461 - 2¹¹ = 30514416512413 is a prime.

It is a super-2 number, since 2×30514416514461² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30514416514411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3050511 + ... + 8386563.

It is an arithmetic number, because the mean of its divisors is an integer number (1023882041520).

Almost surely, 2^{30514416514461} is an apocalyptic number.

It is an amenable number.

30514416514461 is a deficient number, since it is larger than the sum of its proper divisors (18631921478499).

30514416514461 is a wasteful number, since it uses less digits than its factorization.

30514416514461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337346 (or 5337343 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 30514416514461 its reverse (16441561441503), we get a palindrome (46955977955964).

The spelling of 30514416514461 in words is "thirty trillion, five hundred fourteen billion, four hundred sixteen million, five hundred fourteen thousand, four hundred sixty-one".