84350733705348 has 48 divisors (see below), whose sum is σ = 220513957414464. Its totient is φ = 24869995194240.

The previous prime is 84350733705299. The next prime is 84350733705353.

84350733705348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84350733705348² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84350733705291 and 84350733705300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8635410115 + ... + 8635419882.

It is an arithmetic number, because the mean of its divisors is an integer number (4594040779468).

Almost surely, 2^{84350733705348} is an apocalyptic number.

It is an amenable number.

84350733705348 is an abundant number, since it is smaller than the sum of its proper divisors (136163223709116).

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

84350733705348 is a wasteful number, since it uses less digits than its factorization.

84350733705348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17270830052 (or 17270830050 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 84350733705348 in words is "eighty-four trillion, three hundred fifty billion, seven hundred thirty-three million, seven hundred five thousand, three hundred forty-eight".