34454058978564 has 81 divisors (see below), whose sum is σ = 89168626404039. Its totient is φ = 11217107538000.

The previous prime is 34454058978541. The next prime is 34454058978583. The reversal of 34454058978564 is 46587985045443.

The square root of 34454058978564 is 5869758.

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

34454058978564 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 4 + 0 + 58 + 9 + 7 + 8 + 564 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34454058978492 and 34454058978501.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1514386189 + ... + 1514408939.

Almost surely, 2^{34454058978564} is an apocalyptic number.

34454058978564 is the 5869758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34454058978564

34454058978564 is an abundant number, since it is smaller than the sum of its proper divisors (54714567425475).

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

34454058978564 is an frugal number, since it uses more digits than its factorization.

34454058978564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45598 (or 22799 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 34454058978564 in words is "thirty-four trillion, four hundred fifty-four billion, fifty-eight million, nine hundred seventy-eight thousand, five hundred sixty-four".