345626507520000 has 4800 divisors, whose sum is σ = 1546291769742720. Its totient is φ = 75246796800000.

The previous prime is 345626507519999. The next prime is 345626507520023. The reversal of 345626507520000 is 25705626543.

345626507520000 is a `hidden beast` number, since 3 + 4 + 5 + 62 + 65 + 0 + 7 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1638040319895 + ... + 1638040320105.

Almost surely, 2^{345626507520000} is an apocalyptic number.

345626507520000 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 345626507520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773145884871360).

345626507520000 is an abundant number, since it is smaller than the sum of its proper divisors (1200665262222720).

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

345626507520000 is an equidigital number, since it uses as much as digits as its factorization.

345626507520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 345626507520000 in words is "three hundred forty-five trillion, six hundred twenty-six billion, five hundred seven million, five hundred twenty thousand".