44806274005248 has 720 divisors, whose sum is σ = 153663770385664. Its totient is φ = 12720470999040.

The previous prime is 44806274005231. The next prime is 44806274005253. The reversal of 44806274005248 is 84250047260844.

It is a happy number.

44806274005248 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 627 + 4 + 0 + 0 + 5 + 2 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 44806274005194 and 44806274005203.

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, 16927189461 + ... + 16927192107.

Almost surely, 2^{44806274005248} is an apocalyptic number.

44806274005248 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 44806274005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76831885192832).

44806274005248 is an abundant number, since it is smaller than the sum of its proper divisors (108857496380416).

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

44806274005248 is a wasteful number, since it uses less digits than its factorization.

44806274005248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 44806274005248 in words is "forty-four trillion, eight hundred six billion, two hundred seventy-four million, five thousand, two hundred forty-eight".