416612646061521 has 512 divisors, whose sum is σ = 790125831290880. Its totient is φ = 188828850585600.

The previous prime is 416612646061519. The next prime is 416612646061541. The reversal of 416612646061521 is 125160646216614.

It is not a de Polignac number, because 416612646061521 - 2¹ = 416612646061519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (416612646061501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 287914751220 + ... + 287914752666.

It is an arithmetic number, because the mean of its divisors is an integer number (1543214514240).

Almost surely, 2^{416612646061521} is an apocalyptic number.

416612646061521 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

416612646061521 is a deficient number, since it is larger than the sum of its proper divisors (373513185229359).

416612646061521 is a wasteful number, since it uses less digits than its factorization.

416612646061521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 416612646061521 in words is "four hundred sixteen trillion, six hundred twelve billion, six hundred forty-six million, sixty-one thousand, five hundred twenty-one".