71445369600000 has 4320 divisors, whose sum is σ = 315068201688240. Its totient is φ = 16057958400000.

The previous prime is 71445369599999. The next prime is 71445369600049. The reversal of 71445369600000 is 696354417.

71445369600000 is a `hidden beast` number, since 7 + 1 + 4 + 4 + 5 + 36 + 9 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1066348799967 + ... + 1066348800033.

Almost surely, 2^{71445369600000} 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 71445369600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157534100844120).

71445369600000 is an abundant number, since it is smaller than the sum of its proper divisors (243622832088240).

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

71445369600000 is an equidigital number, since it uses as much as digits as its factorization.

71445369600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 71445369600000 in words is "seventy-one trillion, four hundred forty-five billion, three hundred sixty-nine million, six hundred thousand".