345543440245200 has 360 divisors, whose sum is σ = 1201736820304800. Its totient is φ = 91944952243200.

The previous prime is 345543440245189. The next prime is 345543440245261. The reversal of 345543440245200 is 2542044345543.

345543440245200 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 4 + 34 + 402 + 4 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×345543440245200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3086558826 + ... + 3086670774.

It is an arithmetic number, because the mean of its divisors is an integer number (3338157834180).

Almost surely, 2^{345543440245200} is an apocalyptic number.

345543440245200 is a gapful number since it is divisible by the number (30) 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 345543440245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600868410152400).

345543440245200 is an abundant number, since it is smaller than the sum of its proper divisors (856193380059600).

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

345543440245200 is a wasteful number, since it uses less digits than its factorization.

345543440245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113827 (or 113813 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

The spelling of 345543440245200 in words is "three hundred forty-five trillion, five hundred forty-three billion, four hundred forty million, two hundred forty-five thousand, two hundred".