34914094854912 has 864 divisors, whose sum is σ = 131894206402560. Its totient is φ = 8911012331520.

The previous prime is 34914094854901. The next prime is 34914094854917. The reversal of 34914094854912 is 21945849041943.

34914094854912 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 40 + 9 + 48 + 549 + 1 + 2 = 666.

34914094854912 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 34914094854912.

It is not an unprimeable number, because it can be changed into a prime (34914094854917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253414908 + ... + 253552644.

Almost surely, 2^{34914094854912} is an apocalyptic number.

34914094854912 is a gapful number since it is divisible by the number (32) 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 34914094854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65947103201280).

34914094854912 is an abundant number, since it is smaller than the sum of its proper divisors (96980111547648).

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

34914094854912 is a wasteful number, since it uses less digits than its factorization.

34914094854912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137826 (or 137793 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

It can be divided in two parts, 3491409 and 4854912, that added together give a square (8346321 = 2889²).

The spelling of 34914094854912 in words is "thirty-four trillion, nine hundred fourteen billion, ninety-four million, eight hundred fifty-four thousand, nine hundred twelve".