45864185095680 has 2560 divisors, whose sum is σ = 190882411315200. Its totient is φ = 9154087354368.

The previous prime is 45864185095669. The next prime is 45864185095693. The reversal of 45864185095680 is 8659058146854.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80604894436 + ... + 80604895004.

It is an arithmetic number, because the mean of its divisors is an integer number (74563441920).

Almost surely, 2^{45864185095680} is an apocalyptic number.

45864185095680 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 45864185095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95441205657600).

45864185095680 is an abundant number, since it is smaller than the sum of its proper divisors (145018226219520).

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

45864185095680 is a wasteful number, since it uses less digits than its factorization.

45864185095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 69.

The spelling of 45864185095680 in words is "forty-five trillion, eight hundred sixty-four billion, one hundred eighty-five million, ninety-five thousand, six hundred eighty".