34353543504456 has 128 divisors (see below), whose sum is σ = 104140380240000. Its totient is φ = 10406291374080.

The previous prime is 34353543504433. The next prime is 34353543504457. The reversal of 34353543504456 is 65440534535343.

It is a happy number.

34353543504456 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 3 + 543 + 5 + 0 + 44 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34353543504457) 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 31 ways as a sum of consecutive naturals, for example, 3700600 + ... + 9077528.

It is an arithmetic number, because the mean of its divisors is an integer number (813596720625).

Almost surely, 2^{34353543504456} is an apocalyptic number.

34353543504456 is a gapful number since it is divisible by the number (36) 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 34353543504456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52070190120000).

34353543504456 is an abundant number, since it is smaller than the sum of its proper divisors (69786836735544).

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

34353543504456 is a wasteful number, since it uses less digits than its factorization.

34353543504456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379644 (or 5379634 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 54.

The spelling of 34353543504456 in words is "thirty-four trillion, three hundred fifty-three billion, five hundred forty-three million, five hundred four thousand, four hundred fifty-six".