916325648001 has 135 divisors (see below), whose sum is σ = 1465214289363. Its totient is φ = 570673563840.

The previous prime is 916325647969. The next prime is 916325648057. The reversal of 916325648001 is 100846523619.

The square root of 916325648001 is 957249.

It is a perfect power (a square), and thus also a powerful number.

916325648001 is a `hidden beast` number, since 9 + 1 + 6 + 3 + 2 + 564 + 80 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 520151076225 + 396174571776 = 721215^2 + 629424^2 .

It is not a de Polignac number, because 916325648001 - 2⁵ = 916325647969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (916325648081) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12552406101 + ... + 12552406173.

Almost surely, 2^916325648001 is an apocalyptic number.

916325648001 is the 957249-th square number.

916325648001 is the 478625-th centered octagonal number.

It is an amenable number.

916325648001 is a deficient number, since it is larger than the sum of its proper divisors (548888641362).

916325648001 is an frugal number, since it uses more digits than its factorization.

916325648001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 916325648001 in words is "nine hundred sixteen billion, three hundred twenty-five million, six hundred forty-eight thousand, one".