45258034826160 has 960 divisors, whose sum is σ = 169926584002560. Its totient is φ = 11066564321280.

The previous prime is 45258034826159. The next prime is 45258034826177. The reversal of 45258034826160 is 6162843085254.

45258034826160 is a `hidden beast` number, since 4 + 5 + 2 + 580 + 3 + 48 + 2 + 6 + 16 + 0 = 666.

It is a super-2 number, since 2×45258034826160² (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 = 45258034826097 and 45258034826106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48300997212 + ... + 48300998148.

It is an arithmetic number, because the mean of its divisors is an integer number (177006858336).

Almost surely, 2^{45258034826160} is an apocalyptic number.

45258034826160 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 45258034826160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963292001280).

45258034826160 is an abundant number, since it is smaller than the sum of its proper divisors (124668549176400).

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

45258034826160 is a wasteful number, since it uses less digits than its factorization.

45258034826160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 45258034826160 in words is "forty-five trillion, two hundred fifty-eight billion, thirty-four million, eight hundred twenty-six thousand, one hundred sixty".