466145301720436 has 288 divisors, whose sum is σ = 1003732617162240. Its totient is φ = 187657264594944.

The previous prime is 466145301720407. The next prime is 466145301720443. The reversal of 466145301720436 is 634027103541664.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 31630942060 + ... + 31630956796.

It is an arithmetic number, because the mean of its divisors is an integer number (3485182698480).

Almost surely, 2^{466145301720436} is an apocalyptic number.

It is an amenable number.

466145301720436 is an abundant number, since it is smaller than the sum of its proper divisors (537587315441804).

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

466145301720436 is a wasteful number, since it uses less digits than its factorization.

466145301720436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17211 (or 17192 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 466145301720436 in words is "four hundred sixty-six trillion, one hundred forty-five billion, three hundred one million, seven hundred twenty thousand, four hundred thirty-six".