45863639285760 has 512 divisors, whose sum is σ = 165082706942400. Its totient is φ = 12230208258048.

The previous prime is 45863639285747. The next prime is 45863639285851. The reversal of 45863639285760 is 6758293636854.

45863639285760 is a `hidden beast` number, since 4 + 586 + 3 + 6 + 39 + 2 + 8 + 5 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358254082 + ... + 358382078.

Almost surely, 2^{45863639285760} is an apocalyptic number.

45863639285760 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 45863639285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82541353471200).

45863639285760 is an abundant number, since it is smaller than the sum of its proper divisors (119219067656640).

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

45863639285760 is an frugal number, since it uses more digits than its factorization.

45863639285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128053 (or 128007 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 45863639285760 in words is "forty-five trillion, eight hundred sixty-three billion, six hundred thirty-nine million, two hundred eighty-five thousand, seven hundred sixty".