345632070912 has 288 divisors, whose sum is σ = 976564463616. Its totient is φ = 108303360000.

The previous prime is 345632070907. The next prime is 345632070941. The reversal of 345632070912 is 219070236543.

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, 269393023 + ... + 269394305.

It is an arithmetic number, because the mean of its divisors is an integer number (3390848832).

Almost surely, 2^345632070912 is an apocalyptic number.

345632070912 is a gapful number since it is divisible by the number (32) 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 345632070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488282231808).

345632070912 is an abundant number, since it is smaller than the sum of its proper divisors (630932392704).

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

345632070912 is a wasteful number, since it uses less digits than its factorization.

345632070912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 345632070912 in words is "three hundred forty-five billion, six hundred thirty-two million, seventy thousand, nine hundred twelve".