34443640614456 has 64 divisors (see below), whose sum is σ = 95717133830400. Its totient is φ = 11476371016800.

The previous prime is 34443640614419. The next prime is 34443640614469. The reversal of 34443640614456 is 65441604634443.

34443640614456 is a `hidden beast` number, since 3 + 4 + 4 + 43 + 6 + 406 + 144 + 56 = 666.

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 15 ways as a sum of consecutive naturals, for example, 33115300 + ... + 34139571.

It is an arithmetic number, because the mean of its divisors is an integer number (1495580216100).

Almost surely, 2^{34443640614456} is an apocalyptic number.

34443640614456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34443640614456 is an abundant number, since it is smaller than the sum of its proper divisors (61273493215944).

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

34443640614456 is a wasteful number, since it uses less digits than its factorization.

34443640614456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67257257 (or 67257247 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 34443640614456 in words is "thirty-four trillion, four hundred forty-three billion, six hundred forty million, six hundred fourteen thousand, four hundred fifty-six".