1564006347216 has 240 divisors, whose sum is σ = 4584927879168. Its totient is φ = 516097008000.

The previous prime is 1564006347209. The next prime is 1564006347217. The reversal of 1564006347216 is 6127436004651.

1564006347216 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 0 + 0 + 634 + 7 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×1564006347216² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564006347217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242440791 + ... + 242447241.

Almost surely, 2^{1564006347216} is an apocalyptic number.

1564006347216 is a gapful number since it is divisible by the number (16) 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 1564006347216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292463939584).

1564006347216 is an abundant number, since it is smaller than the sum of its proper divisors (3020921531952).

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

1564006347216 is a wasteful number, since it uses less digits than its factorization.

1564006347216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1564006347216 in words is "one trillion, five hundred sixty-four billion, six million, three hundred forty-seven thousand, two hundred sixteen".