34454102112 has 96 divisors (see below), whose sum is σ = 101702079360. Its totient is φ = 11346307200.

The previous prime is 34454102107. The next prime is 34454102117. The reversal of 34454102112 is 21120145443.

34454102112 is a `hidden beast` number, since 3 + 4 + 4 + 541 + 0 + 2 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (34454102107) and next prime (34454102117).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34454102117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168514 + ... + 311937.

It is an arithmetic number, because the mean of its divisors is an integer number (1059396660).

Almost surely, 2^34454102112 is an apocalyptic number.

34454102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34454102112 is an abundant number, since it is smaller than the sum of its proper divisors (67247977248).

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

34454102112 is a wasteful number, since it uses less digits than its factorization.

34454102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480553 (or 480539 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 34454102112 its reverse (21120145443), we get a palindrome (55574247555).

The spelling of 34454102112 in words is "thirty-four billion, four hundred fifty-four million, one hundred two thousand, one hundred twelve".