46572645663768 has 256 divisors, whose sum is σ = 136366129152000. Its totient is φ = 12980024547840.

The previous prime is 46572645663743. The next prime is 46572645663769. The reversal of 46572645663768 is 86736654627564.

It is a super-2 number, since 2×46572645663768² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46572645663768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46572645663769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4121832183 + ... + 4121843481.

It is an arithmetic number, because the mean of its divisors is an integer number (532680192000).

Almost surely, 2^{46572645663768} 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 46572645663768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68183064576000).

46572645663768 is an abundant number, since it is smaller than the sum of its proper divisors (89793483488232).

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

46572645663768 is a wasteful number, since it uses less digits than its factorization.

46572645663768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14670 (or 14666 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 75.

The spelling of 46572645663768 in words is "forty-six trillion, five hundred seventy-two billion, six hundred forty-five million, six hundred sixty-three thousand, seven hundred sixty-eight".