34516221162660 has 192 divisors, whose sum is σ = 107690500915200. Its totient is φ = 9178057620864.

The previous prime is 34516221162659. The next prime is 34516221162673. The reversal of 34516221162660 is 6626112261543.

34516221162660 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 6 + 2 + 2 + 11 + 626 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 498416157 + ... + 498485403.

It is an arithmetic number, because the mean of its divisors is an integer number (560888025600).

Almost surely, 2^{34516221162660} is an apocalyptic number.

34516221162660 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 34516221162660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53845250457600).

34516221162660 is an abundant number, since it is smaller than the sum of its proper divisors (73174279752540).

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

34516221162660 is a wasteful number, since it uses less digits than its factorization.

34516221162660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71887 (or 71879 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34516221162660 in words is "thirty-four trillion, five hundred sixteen billion, two hundred twenty-one million, one hundred sixty-two thousand, six hundred sixty".