467797148352 has 252 divisors, whose sum is σ = 1415062273248. Its totient is φ = 147683404800.

The previous prime is 467797148311. The next prime is 467797148369. The reversal of 467797148352 is 253841797764.

467797148352 is a `hidden beast` number, since 4 + 67 + 7 + 97 + 1 + 483 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 467797148352.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26007202 + ... + 26025182.

Almost surely, 2^467797148352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467797148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707531136624).

467797148352 is an abundant number, since it is smaller than the sum of its proper divisors (947265124896).

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

467797148352 is a wasteful number, since it uses less digits than its factorization.

467797148352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18108 (or 18064 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 467797148352 in words is "four hundred sixty-seven billion, seven hundred ninety-seven million, one hundred forty-eight thousand, three hundred fifty-two".