340772625059256 has 160 divisors (see below), whose sum is σ = 1028306521242000. Its totient is φ = 104811681300480.

The previous prime is 340772625059197. The next prime is 340772625059323. The reversal of 340772625059256 is 652950526277043.

340772625059256 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 72 + 6 + 2 + 505 + 9 + 2 + 56 = 666.

It is a super-2 number, since 2×340772625059256² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340772625059193 and 340772625059202.

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, 13329720 + ... + 29312568.

Almost surely, 2^{340772625059256} is an apocalyptic number.

340772625059256 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 340772625059256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514153260621000).

340772625059256 is an abundant number, since it is smaller than the sum of its proper divisors (687533896182744).

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

340772625059256 is a wasteful number, since it uses less digits than its factorization.

340772625059256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15985411 (or 15985398 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 340772625059256 in words is "three hundred forty trillion, seven hundred seventy-two billion, six hundred twenty-five million, fifty-nine thousand, two hundred fifty-six".