468094707432 has 256 divisors, whose sum is σ = 1514723328000. Its totient is φ = 132537081600.

The previous prime is 468094707391. The next prime is 468094707473. The reversal of 468094707432 is 234707490864.

468094707432 is a `hidden beast` number, since 46 + 80 + 94 + 7 + 0 + 7 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (468094707391) and next prime (468094707473).

It is a super-2 number, since 2×468094707432² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2026453 + ... + 2245595.

It is an arithmetic number, because the mean of its divisors is an integer number (5916888000).

Almost surely, 2^468094707432 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 468094707432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757361664000).

468094707432 is an abundant number, since it is smaller than the sum of its proper divisors (1046628620568).

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

468094707432 is a wasteful number, since it uses less digits than its factorization.

468094707432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219229 (or 219219 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 468094707432 in words is "four hundred sixty-eight billion, ninety-four million, seven hundred seven thousand, four hundred thirty-two".