102345433694464 has 81 divisors (see below), whose sum is σ = 211588219586653. Its totient is φ = 49405874287616.

The previous prime is 102345433694459. The next prime is 102345433694473. The reversal of 102345433694464 is 464496334543201.

The square root of 102345433694464 is 10116592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53667462852864 + 48677970841600 = 7325808^2 + 6976960^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102345433694399 and 102345433694408.

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 8 ways as a sum of consecutive naturals, for example, 4694087787 + ... + 4694109589.

Almost surely, 2^{102345433694464} is an apocalyptic number.

102345433694464 is the 10116592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102345433694464

102345433694464 is an abundant number, since it is smaller than the sum of its proper divisors (109242785892189).

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

102345433694464 is an frugal number, since it uses more digits than its factorization.

102345433694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43680 (or 21834 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 58.

The spelling of 102345433694464 in words is "one hundred two trillion, three hundred forty-five billion, four hundred thirty-three million, six hundred ninety-four thousand, four hundred sixty-four".