102352466944 has 132 divisors (see below), whose sum is σ = 256319960484. Its totient is φ = 40490827776.

The previous prime is 102352466939. The next prime is 102352466969. The reversal of 102352466944 is 449664253201.

It can be written as a sum of positive squares in 2 ways, for example, as 56590700544 + 45761766400 = 237888^2 + 213920^2 .

It is a super-2 number, since 2×102352466944² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102352466894 and 102352466903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573832 + ... + 730744.

Almost surely, 2^102352466944 is an apocalyptic number.

102352466944 is a gapful number since it is divisible by the number (14) 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 102352466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128159980242).

102352466944 is an abundant number, since it is smaller than the sum of its proper divisors (153967493540).

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

102352466944 is a wasteful number, since it uses less digits than its factorization.

102352466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156960 (or 156935 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 102352466944 in words is "one hundred two billion, three hundred fifty-two million, four hundred sixty-six thousand, nine hundred forty-four".