102849481728 has 528 divisors, whose sum is σ = 355362868224. Its totient is φ = 29103390720.

The previous prime is 102849481681. The next prime is 102849481771. The reversal of 102849481728 is 827184948201.

102849481728 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 494 + 81 + 72 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 238629673 + ... + 238630103.

Almost surely, 2^102849481728 is an apocalyptic number.

102849481728 is a gapful number since it is divisible by the number (18) 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 102849481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177681434112).

102849481728 is an abundant number, since it is smaller than the sum of its proper divisors (252513386496).

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

102849481728 is an equidigital number, since it uses as much as digits as its factorization.

102849481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 102849481728 in words is "one hundred two billion, eight hundred forty-nine million, four hundred eighty-one thousand, seven hundred twenty-eight".