345543567553656 has 192 divisors, whose sum is σ = 961916232888000. Its totient is φ = 111977753094144.

The previous prime is 345543567553601. The next prime is 345543567553703. The reversal of 345543567553656 is 656355765345543.

345543567553656 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 4 + 3 + 5 + 6 + 7 + 553 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20754605620 + ... + 20754622268.

It is an arithmetic number, because the mean of its divisors is an integer number (5009980379625).

Almost surely, 2^{345543567553656} is an apocalyptic number.

345543567553656 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 345543567553656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480958116444000).

345543567553656 is an abundant number, since it is smaller than the sum of its proper divisors (616372665334344).

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

345543567553656 is a wasteful number, since it uses less digits than its factorization.

345543567553656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22518 (or 22511 counting only the distinct ones).

The product of its digits is 10206000000, while the sum is 72.

The spelling of 345543567553656 in words is "three hundred forty-five trillion, five hundred forty-three billion, five hundred sixty-seven million, five hundred fifty-three thousand, six hundred fifty-six".