45942124354560 has 1408 divisors, whose sum is σ = 193335737241600. Its totient is φ = 10122830807040.

The previous prime is 45942124354517. The next prime is 45942124354561. The reversal of 45942124354560 is 6545342124954.

45942124354560 is a `hidden beast` number, since 4 + 5 + 9 + 4 + 2 + 1 + 24 + 3 + 54 + 560 = 666.

It is a super-2 number, since 2×45942124354560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45942124354497 and 45942124354506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45942124354561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29774545149 + ... + 29774546691.

Almost surely, 2^{45942124354560} is an apocalyptic number.

45942124354560 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 45942124354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96667868620800).

45942124354560 is an abundant number, since it is smaller than the sum of its proper divisors (147393612887040).

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

45942124354560 is a wasteful number, since it uses less digits than its factorization.

45942124354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 45942124354560 in words is "forty-five trillion, nine hundred forty-two billion, one hundred twenty-four million, three hundred fifty-four thousand, five hundred sixty".