44502104064 has 288 divisors, whose sum is σ = 134686056960. Its totient is φ = 13043712000.

The previous prime is 44502104051. The next prime is 44502104099. The reversal of 44502104064 is 46040120544.

It is a happy number.

It is a super-2 number, since 2×44502104064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23045179 + ... + 23047109.

It is an arithmetic number, because the mean of its divisors is an integer number (467659920).

Almost surely, 2^44502104064 is an apocalyptic number.

44502104064 is a gapful number since it is divisible by the number (44) 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 44502104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67343028480).

44502104064 is an abundant number, since it is smaller than the sum of its proper divisors (90183952896).

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

44502104064 is a wasteful number, since it uses less digits than its factorization.

44502104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 44502104064 in words is "forty-four billion, five hundred two million, one hundred four thousand, sixty-four".