34506063010500 has 192 divisors, whose sum is σ = 105867029748480. Its totient is φ = 8709337728000.

The previous prime is 34506063010487. The next prime is 34506063010513. The reversal of 34506063010500 is 501036060543.

It is an interprime number because it is at equal distance from previous prime (34506063010487) and next prime (34506063010513).

It is a super-2 number, since 2×34506063010500² (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, 30596640 + ... + 31704360.

It is an arithmetic number, because the mean of its divisors is an integer number (551390779940).

Almost surely, 2^{34506063010500} is an apocalyptic number.

34506063010500 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 34506063010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52933514874240).

34506063010500 is an abundant number, since it is smaller than the sum of its proper divisors (71360966737980).

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

34506063010500 is a wasteful number, since it uses less digits than its factorization.

34506063010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108855 (or 1108843 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 34506063010500 in words is "thirty-four trillion, five hundred six billion, sixty-three million, ten thousand, five hundred".