71018621451456 has 224 divisors, whose sum is σ = 220090173219840. Its totient is φ = 19786622976000.

The previous prime is 71018621451451. The next prime is 71018621451457. The reversal of 71018621451456 is 65415412681017.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 71018621451399 and 71018621451408.

It is not an unprimeable number, because it can be changed into a prime (71018621451451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114803781 + ... + 115420731.

It is an arithmetic number, because the mean of its divisors is an integer number (982545416160).

Almost surely, 2^{71018621451456} 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 71018621451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110045086609920).

71018621451456 is an abundant number, since it is smaller than the sum of its proper divisors (149071551768384).

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

71018621451456 is a wasteful number, since it uses less digits than its factorization.

71018621451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619103 (or 619093 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 71018621451456 in words is "seventy-one trillion, eighteen billion, six hundred twenty-one million, four hundred fifty-one thousand, four hundred fifty-six".