10934441483616 has 480 divisors, whose sum is σ = 37521991584000. Its totient is φ = 3058903471104.

The previous prime is 10934441483573. The next prime is 10934441483639. The reversal of 10934441483616 is 61638414443901.

It is a happy number.

10934441483616 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 4 + 4 + 4 + 14 + 8 + 3 + 616 = 666.

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

It is a congruent number.

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, 479842975 + ... + 479865761.

It is an arithmetic number, because the mean of its divisors is an integer number (78170815800).

Almost surely, 2^{10934441483616} is an apocalyptic number.

10934441483616 is a gapful number since it is divisible by the number (16) 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 10934441483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760995792000).

10934441483616 is an abundant number, since it is smaller than the sum of its proper divisors (26587550100384).

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

10934441483616 is a wasteful number, since it uses less digits than its factorization.

10934441483616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23368 (or 23351 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 10934441483616 in words is "ten trillion, nine hundred thirty-four billion, four hundred forty-one million, four hundred eighty-three thousand, six hundred sixteen".