45260216081820 has 144 divisors (see below), whose sum is σ = 137893350067200. Its totient is φ = 12016399494528.

The previous prime is 45260216081819. The next prime is 45260216081963. The reversal of 45260216081820 is 2818061206254.

45260216081820 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 0 + 2 + 1 + 608 + 18 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38998039 + ... + 40141841.

It is an arithmetic number, because the mean of its divisors is an integer number (957592708800).

Almost surely, 2^{45260216081820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45260216081820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68946675033600).

45260216081820 is an abundant number, since it is smaller than the sum of its proper divisors (92633133985380).

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

45260216081820 is a wasteful number, since it uses less digits than its factorization.

45260216081820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144784 (or 1144779 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 45260216081820 in words is "forty-five trillion, two hundred sixty billion, two hundred sixteen million, eighty-one thousand, eight hundred twenty".