659683132416 has 1408 divisors, whose sum is σ = 2626029158400. Its totient is φ = 158416404480.

The previous prime is 659683132399. The next prime is 659683132439. The reversal of 659683132416 is 614231386956.

659683132416 is a `hidden beast` number, since 6 + 5 + 96 + 8 + 3 + 132 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1901103955 + ... + 1901104301.

Almost surely, 2^659683132416 is an apocalyptic number.

659683132416 is a gapful number since it is divisible by the number (66) 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 659683132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313014579200).

659683132416 is an abundant number, since it is smaller than the sum of its proper divisors (1966346025984).

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

659683132416 is a wasteful number, since it uses less digits than its factorization.

659683132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 659683132416 in words is "six hundred fifty-nine billion, six hundred eighty-three million, one hundred thirty-two thousand, four hundred sixteen".