340547096448 has 1024 divisors, whose sum is σ = 1246952448000. Its totient is φ = 90296156160.

The previous prime is 340547096443. The next prime is 340547096459. The reversal of 340547096448 is 844690745043.

340547096448 is a `hidden beast` number, since 3 + 4 + 0 + 547 + 0 + 96 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 340547096394 and 340547096403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340547096443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 449863686 + ... + 449864442.

It is an arithmetic number, because the mean of its divisors is an integer number (1217727000).

Almost surely, 2^340547096448 is an apocalyptic number.

340547096448 is a gapful number since it is divisible by the number (38) 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 340547096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623476224000).

340547096448 is an abundant number, since it is smaller than the sum of its proper divisors (906405351552).

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

340547096448 is a wasteful number, since it uses less digits than its factorization.

340547096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 340547096448 in words is "three hundred forty billion, five hundred forty-seven million, ninety-six thousand, four hundred forty-eight".