45863079159744 has 840 divisors, whose sum is σ = 171417992976384. Its totient is φ = 11868222643200.

The previous prime is 45863079159707. The next prime is 45863079159797. The reversal of 45863079159744 is 44795197036854.

45863079159744 is a `hidden beast` number, since 4 + 586 + 30 + 7 + 9 + 1 + 5 + 9 + 7 + 4 + 4 = 666.

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 119 ways as a sum of consecutive naturals, for example, 1189900537 + ... + 1189939079.

Almost surely, 2^{45863079159744} is an apocalyptic number.

45863079159744 is a gapful number since it is divisible by the number (44) 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 45863079159744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708996488192).

45863079159744 is an abundant number, since it is smaller than the sum of its proper divisors (125554913816640).

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

45863079159744 is a wasteful number, since it uses less digits than its factorization.

45863079159744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38867 (or 38837 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 45863079159744 in words is "forty-five trillion, eight hundred sixty-three billion, seventy-nine million, one hundred fifty-nine thousand, seven hundred forty-four".