340683436025856 has 2304 divisors, whose sum is σ = 1361959497400320. Its totient is φ = 79276875448320.

The previous prime is 340683436025843. The next prime is 340683436025957. The reversal of 340683436025856 is 658520634386043.

340683436025856 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 8 + 3 + 43 + 6 + 0 + 2 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 340683436025793 and 340683436025802.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123749884576 + ... + 123749887328.

It is an arithmetic number, because the mean of its divisors is an integer number (591128254080).

Almost surely, 2^{340683436025856} is an apocalyptic number.

340683436025856 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 340683436025856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680979748700160).

340683436025856 is an abundant number, since it is smaller than the sum of its proper divisors (1021276061374464).

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

340683436025856 is a wasteful number, since it uses less digits than its factorization.

340683436025856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 63.

The spelling of 340683436025856 in words is "three hundred forty trillion, six hundred eighty-three billion, four hundred thirty-six million, twenty-five thousand, eight hundred fifty-six".