345681737856 has 1152 divisors, whose sum is σ = 1315489593600. Its totient is φ = 89543688192.

The previous prime is 345681737833. The next prime is 345681737911. The reversal of 345681737856 is 658737186543.

It is a happy number.

345681737856 is a `hidden beast` number, since 3 + 4 + 568 + 17 + 3 + 7 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 345681737793 and 345681737802.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1446366985 + ... + 1446367223.

It is an arithmetic number, because the mean of its divisors is an integer number (1141918050).

Almost surely, 2^345681737856 is an apocalyptic number.

345681737856 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 345681737856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657744796800).

345681737856 is an abundant number, since it is smaller than the sum of its proper divisors (969807855744).

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

345681737856 is a wasteful number, since it uses less digits than its factorization.

345681737856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 337 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 345681737856 in words is "three hundred forty-five billion, six hundred eighty-one million, seven hundred thirty-seven thousand, eight hundred fifty-six".