466350803100000 has 3456 divisors, whose sum is σ = 2097111836252160. Its totient is φ = 95685857280000.

The previous prime is 466350803099947. The next prime is 466350803100011. The reversal of 466350803100000 is 1308053664.

466350803100000 is a `hidden beast` number, since 4 + 6 + 635 + 0 + 8 + 0 + 3 + 10 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×466350803100000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 497706299532 + ... + 497706300468.

It is an arithmetic number, because the mean of its divisors is an integer number (606803193360).

Almost surely, 2^{466350803100000} is an apocalyptic number.

466350803100000 is a gapful number since it is divisible by the number (40) 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 466350803100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048555918126080).

466350803100000 is an abundant number, since it is smaller than the sum of its proper divisors (1630761033152160).

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

466350803100000 is a wasteful number, since it uses less digits than its factorization.

466350803100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 466350803100000 in words is "four hundred sixty-six trillion, three hundred fifty billion, eight hundred three million, one hundred thousand".