71463146373216 has 576 divisors, whose sum is σ = 230360731578432. Its totient is φ = 21660112945152.

The previous prime is 71463146373193. The next prime is 71463146373251. The reversal of 71463146373216 is 61237364136417.

71463146373216 is a `hidden beast` number, since 7 + 1 + 46 + 3 + 14 + 6 + 373 + 216 = 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 95 ways as a sum of consecutive naturals, for example, 6294642996 + ... + 6294654348.

It is an arithmetic number, because the mean of its divisors is an integer number (399931825657).

Almost surely, 2^{71463146373216} 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 71463146373216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115180365789216).

71463146373216 is an abundant number, since it is smaller than the sum of its proper divisors (158897585205216).

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

71463146373216 is a wasteful number, since it uses less digits than its factorization.

71463146373216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317 (or 12297 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 71463146373216 in words is "seventy-one trillion, four hundred sixty-three billion, one hundred forty-six million, three hundred seventy-three thousand, two hundred sixteen".