1007116222464 has 576 divisors, whose sum is σ = 3339995420160. Its totient is φ = 297271296000.

The previous prime is 1007116222391. The next prime is 1007116222471. The reversal of 1007116222464 is 4642226117001.

1007116222464 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 1 + 1 + 622 + 24 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596063429 + ... + 1596064059.

It is an arithmetic number, because the mean of its divisors is an integer number (5798603160).

Almost surely, 2^{1007116222464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007116222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669997710080).

1007116222464 is an abundant number, since it is smaller than the sum of its proper divisors (2332879197696).

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

1007116222464 is an frugal number, since it uses more digits than its factorization.

1007116222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1007116222464 in words is "one trillion, seven billion, one hundred sixteen million, two hundred twenty-two thousand, four hundred sixty-four".