986439310601472 has 1152 divisors, whose sum is σ = 3616610038272000. Its totient is φ = 258251616976896.

The previous prime is 986439310601467. The next prime is 986439310601477. The reversal of 986439310601472 is 274106013934689.

986439310601472 is a `hidden beast` number, since 9 + 8 + 6 + 4 + 3 + 9 + 3 + 10 + 601 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (986439310601467) and next prime (986439310601477).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986439310601477) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251450242903 + ... + 251450246825.

It is an arithmetic number, because the mean of its divisors is an integer number (3139418436000).

Almost surely, 2^{986439310601472} 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 986439310601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808305019136000).

986439310601472 is an abundant number, since it is smaller than the sum of its proper divisors (2630170727670528).

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

986439310601472 is a wasteful number, since it uses less digits than its factorization.

986439310601472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 986439310601472 in words is "nine hundred eighty-six trillion, four hundred thirty-nine billion, three hundred ten million, six hundred one thousand, four hundred seventy-two".