345977595216 has 960 divisors, whose sum is σ = 1224034156800. Its totient is φ = 93361766400.

The previous prime is 345977595157. The next prime is 345977595217. The reversal of 345977595216 is 612595779543.

345977595216 is a `hidden beast` number, since 3 + 4 + 59 + 7 + 7 + 59 + 521 + 6 = 666.

Its product of digits (71442000) is a multiple of the sum of its prime divisors (392).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345977595217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1286161930 + ... + 1286162198.

It is an arithmetic number, because the mean of its divisors is an integer number (1275035580).

Almost surely, 2^345977595216 is an apocalyptic number.

345977595216 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 345977595216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612017078400).

345977595216 is an abundant number, since it is smaller than the sum of its proper divisors (878056561584).

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

345977595216 is a wasteful number, since it uses less digits than its factorization.

345977595216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 392 counting only the distinct ones).

The product of its digits is 71442000, while the sum is 63.

The spelling of 345977595216 in words is "three hundred forty-five billion, nine hundred seventy-seven million, five hundred ninety-five thousand, two hundred sixteen".