102469459968 has 448 divisors, whose sum is σ = 328708512000. Its totient is φ = 31436439552.

The previous prime is 102469459951. The next prime is 102469459973. The reversal of 102469459968 is 869954964201.

102469459968 is a `hidden beast` number, since 10 + 24 + 6 + 9 + 4 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×102469459968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155492023 + ... + 155492681.

Almost surely, 2^102469459968 is an apocalyptic number.

102469459968 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 102469459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164354256000).

102469459968 is an abundant number, since it is smaller than the sum of its proper divisors (226239052032).

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

102469459968 is an equidigital number, since it uses as much as digits as its factorization.

102469459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 102469459968 in words is "one hundred two billion, four hundred sixty-nine million, four hundred fifty-nine thousand, nine hundred sixty-eight".