34563086400000 has 240 divisors, whose sum is σ = 115090427678688. Its totient is φ = 9216821760000.

The previous prime is 34563086399981. The next prime is 34563086400001. The reversal of 34563086400000 is 468036543.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (34563086400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199679 + ... + 8400321.

Almost surely, 2^{34563086400000} is an apocalyptic number.

34563086400000 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 34563086400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57545213839344).

34563086400000 is an abundant number, since it is smaller than the sum of its proper divisors (80527341278688).

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

34563086400000 is an frugal number, since it uses more digits than its factorization.

34563086400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200689 (or 7200653 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 34563086400000 in words is "thirty-four trillion, five hundred sixty-three billion, eighty-six million, four hundred thousand".