44911075968 has 640 divisors, whose sum is σ = 155331475200. Its totient is φ = 12750151680.

The previous prime is 44911075927. The next prime is 44911075973. The reversal of 44911075968 is 86957011944.

44911075968 is a `hidden beast` number, since 4 + 49 + 1 + 1 + 0 + 7 + 596 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122373321 + ... + 122373687.

It is an arithmetic number, because the mean of its divisors is an integer number (242705430).

Almost surely, 2^44911075968 is an apocalyptic number.

44911075968 is a gapful number since it is divisible by the number (48) 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 44911075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77665737600).

44911075968 is an abundant number, since it is smaller than the sum of its proper divisors (110420399232).

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

44911075968 is a wasteful number, since it uses less digits than its factorization.

44911075968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 44911075968 in words is "forty-four billion, nine hundred eleven million, seventy-five thousand, nine hundred sixty-eight".