45643761367360 has 224 divisors, whose sum is σ = 119948476741632. Its totient is φ = 16438189056000.

The previous prime is 45643761367349. The next prime is 45643761367427. The reversal of 45643761367360 is 6376316734654.

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, 56888985 + ... + 57685735.

It is an arithmetic number, because the mean of its divisors is an integer number (535484271168).

Almost surely, 2^{45643761367360} is an apocalyptic number.

45643761367360 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 45643761367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59974238370816).

45643761367360 is an abundant number, since it is smaller than the sum of its proper divisors (74304715374272).

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

45643761367360 is a wasteful number, since it uses less digits than its factorization.

45643761367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797121 (or 797111 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 61.

The spelling of 45643761367360 in words is "forty-five trillion, six hundred forty-three billion, seven hundred sixty-one million, three hundred sixty-seven thousand, three hundred sixty".