44096698090368 has 1728 divisors, whose sum is σ = 169175009203200. Its totient is φ = 11201493473280.

The previous prime is 44096698090337. The next prime is 44096698090369. The reversal of 44096698090368 is 86309089669044.

44096698090368 is a `hidden beast` number, since 4 + 4 + 0 + 96 + 6 + 98 + 0 + 90 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 44096698090296 and 44096698090305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44096698090369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 33431916013 + ... + 33431917331.

It is an arithmetic number, because the mean of its divisors is an integer number (97902204400).

Almost surely, 2^{44096698090368} is an apocalyptic number.

44096698090368 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 44096698090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84587504601600).

44096698090368 is an abundant number, since it is smaller than the sum of its proper divisors (125078311112832).

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

44096698090368 is an equidigital number, since it uses as much as digits as its factorization.

44096698090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 44096698090368 in words is "forty-four trillion, ninety-six billion, six hundred ninety-eight million, ninety thousand, three hundred sixty-eight".