466993599578688 has 672 divisors, whose sum is σ = 1554926870937600. Its totient is φ = 121094204055552.

The previous prime is 466993599578659. The next prime is 466993599578707. The reversal of 466993599578688 is 886875995399664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×466993599578688² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466993599578592 and 466993599578601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4288500370 + ... + 4288609262.

Almost surely, 2^{466993599578688} is an apocalyptic number.

466993599578688 is a gapful number since it is divisible by the number (48) 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 466993599578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777463435468800).

466993599578688 is an abundant number, since it is smaller than the sum of its proper divisors (1087933271358912).

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

466993599578688 is a wasteful number, since it uses less digits than its factorization.

466993599578688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109259 (or 109236 counting only the distinct ones).

The product of its digits is 1523747635200, while the sum is 102.

The spelling of 466993599578688 in words is "four hundred sixty-six trillion, nine hundred ninety-three billion, five hundred ninety-nine million, five hundred seventy-eight thousand, six hundred eighty-eight".