986352256512 has 480 divisors, whose sum is σ = 3438473718240. Its totient is φ = 281799254016.

The previous prime is 986352256489. The next prime is 986352256517. The reversal of 986352256512 is 215652253689.

986352256512 is a `hidden beast` number, since 9 + 8 + 63 + 5 + 2 + 2 + 565 + 12 = 666.

It is a super-2 number, since 2×986352256512² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986352256517) 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, 54858468 + ... + 54876444.

It is an arithmetic number, because the mean of its divisors is an integer number (7163486913).

Almost surely, 2^986352256512 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 986352256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719236859120).

986352256512 is an abundant number, since it is smaller than the sum of its proper divisors (2452121461728).

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

986352256512 is an frugal number, since it uses more digits than its factorization.

986352256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18030 (or 17989 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 986352256512 in words is "nine hundred eighty-six billion, three hundred fifty-two million, two hundred fifty-six thousand, five hundred twelve".