44680346905968 has 80 divisors (see below), whose sum is σ = 128251180288000. Its totient is φ = 14893212484800.

The previous prime is 44680346905939. The next prime is 44680346905979. The reversal of 44680346905968 is 86950964308644.

44680346905968 is a `hidden beast` number, since 44 + 68 + 0 + 3 + 469 + 0 + 5 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 44680346905896 and 44680346905905.

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, 27550443 + ... + 29127093.

It is an arithmetic number, because the mean of its divisors is an integer number (1603139753600).

Almost surely, 2^{44680346905968} is an apocalyptic number.

44680346905968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44680346905968 is an abundant number, since it is smaller than the sum of its proper divisors (83570833382032).

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

44680346905968 is a wasteful number, since it uses less digits than its factorization.

44680346905968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642267 (or 1642255 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 44680346905968 in words is "forty-four trillion, six hundred eighty billion, three hundred forty-six million, nine hundred five thousand, nine hundred sixty-eight".