345632441456190 has 64 divisors (see below), whose sum is σ = 948242276269056. Its totient is φ = 78983212119552.

The previous prime is 345632441456189. The next prime is 345632441456257. The reversal of 345632441456190 is 91654144236543.

It is a happy number.

It is a super-2 number, since 2×345632441456190² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 345632441456190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191692042 + ... + 193486701.

It is an arithmetic number, because the mean of its divisors is an integer number (14816285566704).

Almost surely, 2^{345632441456190} is an apocalyptic number.

345632441456190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345632441456190 is an abundant number, since it is smaller than the sum of its proper divisors (602609834812866).

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

345632441456190 is a wasteful number, since it uses less digits than its factorization.

345632441456190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385183033.

The product of its (nonzero) digits is 37324800, while the sum is 57.

The spelling of 345632441456190 in words is "three hundred forty-five trillion, six hundred thirty-two billion, four hundred forty-one million, four hundred fifty-six thousand, one hundred ninety".