30514064676000 has 384 divisors, whose sum is σ = 105503281228800. Its totient is φ = 7688454681600.

The previous prime is 30514064675959. The next prime is 30514064676077. The reversal of 30514064676000 is 67646041503.

It is a super-2 number, since 2×30514064676000² (a number of 28 digits) contains 22 as substring.

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, 86235439 + ... + 86588561.

It is an arithmetic number, because the mean of its divisors is an integer number (274748128200).

Almost surely, 2^{30514064676000} is an apocalyptic number.

30514064676000 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 30514064676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52751640614400).

30514064676000 is an abundant number, since it is smaller than the sum of its proper divisors (74989216552800).

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

30514064676000 is a wasteful number, since it uses less digits than its factorization.

30514064676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353549 (or 353531 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 30514064676000 in words is "thirty trillion, five hundred fourteen billion, sixty-four million, six hundred seventy-six thousand".