345260537856 has 480 divisors, whose sum is σ = 1140875255520. Its totient is φ = 103338934272.

The previous prime is 345260537849. The next prime is 345260537861. The reversal of 345260537856 is 658735062543.

345260537856 is a `hidden beast` number, since 3 + 4 + 5 + 26 + 0 + 537 + 85 + 6 = 666.

It is a super-2 number, since 2×345260537856² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79789965 + ... + 79794291.

It is an arithmetic number, because the mean of its divisors is an integer number (2376823449).

Almost surely, 2^345260537856 is an apocalyptic number.

345260537856 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 345260537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570437627760).

345260537856 is an abundant number, since it is smaller than the sum of its proper divisors (795614717664).

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

345260537856 is a wasteful number, since it uses less digits than its factorization.

345260537856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 345260537856 in words is "three hundred forty-five billion, two hundred sixty million, five hundred thirty-seven thousand, eight hundred fifty-six".