701116416000 has 3072 divisors, whose sum is σ = 3572485862400. Its totient is φ = 127401984000.

The previous prime is 701116415977. The next prime is 701116416037. The reversal of 701116416000 is 614611107.

701116416000 is a `hidden beast` number, since 7 + 0 + 1 + 1 + 16 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36900863991 + ... + 36900864009.

It is an arithmetic number, because the mean of its divisors is an integer number (1162918575).

Almost surely, 2^701116416000 is an apocalyptic number.

701116416000 is a gapful number since it is divisible by the number (70) 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 701116416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786242931200).

701116416000 is an abundant number, since it is smaller than the sum of its proper divisors (2871369446400).

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

701116416000 is a wasteful number, since it uses less digits than its factorization.

701116416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 701116416000 in words is "seven hundred one billion, one hundred sixteen million, four hundred sixteen thousand".