34948294112160 has 864 divisors, whose sum is σ = 148602640193280. Its totient is φ = 7408977776640.

The previous prime is 34948294112131. The next prime is 34948294112167. The reversal of 34948294112160 is 6121149284943.

34948294112160 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 8 + 2 + 9 + 411 + 216 + 0 = 666.

It is a super-2 number, since 2×34948294112160² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34948294112097 and 34948294112106.

It is not an unprimeable number, because it can be changed into a prime (34948294112167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42631257 + ... + 43443303.

It is an arithmetic number, because the mean of its divisors is an integer number (171993796520).

Almost surely, 2^{34948294112160} is an apocalyptic number.

34948294112160 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 34948294112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74301320096640).

34948294112160 is an abundant number, since it is smaller than the sum of its proper divisors (113654346081120).

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

34948294112160 is a wasteful number, since it uses less digits than its factorization.

34948294112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812122 (or 812100 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 34948294112160 in words is "thirty-four trillion, nine hundred forty-eight billion, two hundred ninety-four million, one hundred twelve thousand, one hundred sixty".