102673219496064 has 512 divisors, whose sum is σ = 337336339599360. Its totient is φ = 27031018291200.

The previous prime is 102673219496033. The next prime is 102673219496131. The reversal of 102673219496064 is 460694912376201.

It is a super-2 number, since 2×102673219496064² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 102673219495989 and 102673219496007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230814087 + ... + 231258489.

It is an arithmetic number, because the mean of its divisors is an integer number (658860038280).

Almost surely, 2^{102673219496064} is an apocalyptic number.

102673219496064 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 102673219496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168668169799680).

102673219496064 is an abundant number, since it is smaller than the sum of its proper divisors (234663120103296).

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

102673219496064 is a wasteful number, since it uses less digits than its factorization.

102673219496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444588 (or 444576 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 102673219496064 in words is "one hundred two trillion, six hundred seventy-three billion, two hundred nineteen million, four hundred ninety-six thousand, sixty-four".