30114600005460 has 192 divisors, whose sum is σ = 88956442681344. Its totient is φ = 7597185868800.

The previous prime is 30114600005453. The next prime is 30114600005513. The reversal of 30114600005460 is 6450000641103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50941375 + ... + 51529145.

It is an arithmetic number, because the mean of its divisors is an integer number (463314805632).

Almost surely, 2^{30114600005460} is an apocalyptic number.

30114600005460 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 30114600005460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478221340672).

30114600005460 is an abundant number, since it is smaller than the sum of its proper divisors (58841842675884).

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

30114600005460 is a wasteful number, since it uses less digits than its factorization.

30114600005460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588214 (or 588212 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 30114600005460 its reverse (6450000641103), we get a palindrome (36564600646563).

The spelling of 30114600005460 in words is "thirty trillion, one hundred fourteen billion, six hundred million, five thousand, four hundred sixty".