30456661254000 has 80 divisors (see below), whose sum is σ = 98192275902240. Its totient is φ = 8121776332800.

The previous prime is 30456661253989. The next prime is 30456661254001. The reversal of 30456661254000 is 45216665403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30456661254001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538049105 + ... + 2538061104.

It is an arithmetic number, because the mean of its divisors is an integer number (1227403448778).

Almost surely, 2^{30456661254000} is an apocalyptic number.

30456661254000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30456661254000 is an abundant number, since it is smaller than the sum of its proper divisors (67735614648240).

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

30456661254000 is a wasteful number, since it uses less digits than its factorization.

30456661254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076110235 (or 5076110219 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 30456661254000 in words is "thirty trillion, four hundred fifty-six billion, six hundred sixty-one million, two hundred fifty-four thousand".