34056646465014 has 112 divisors (see below), whose sum is σ = 80629834582080. Its totient is φ = 10753898379120.

The previous prime is 34056646464979. The next prime is 34056646465043. The reversal of 34056646465014 is 41056464665043.

34056646465014 is a `hidden beast` number, since 3 + 4 + 0 + 56 + 6 + 46 + 46 + 501 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 427318909 + ... + 427398599.

It is an arithmetic number, because the mean of its divisors is an integer number (719909237340).

Almost surely, 2^{34056646465014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34056646465014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40314917291040).

34056646465014 is an abundant number, since it is smaller than the sum of its proper divisors (46573188117066).

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

34056646465014 is a wasteful number, since it uses less digits than its factorization.

34056646465014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95157 (or 95142 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 34056646465014 in words is "thirty-four trillion, fifty-six billion, six hundred forty-six million, four hundred sixty-five thousand, fourteen".