45820854254010 has 256 divisors, whose sum is σ = 124104077475840. Its totient is φ = 10726624800000.

The previous prime is 45820854254009. The next prime is 45820854254047. The reversal of 45820854254010 is 1045245802854.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17232362061 + ... + 17232364719.

It is an arithmetic number, because the mean of its divisors is an integer number (484781552640).

Almost surely, 2^{45820854254010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45820854254010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052038737920).

45820854254010 is an abundant number, since it is smaller than the sum of its proper divisors (78283223221830).

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

45820854254010 is a wasteful number, since it uses less digits than its factorization.

45820854254010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705.

The product of its (nonzero) digits is 2048000, while the sum is 48.

The spelling of 45820854254010 in words is "forty-five trillion, eight hundred twenty billion, eight hundred fifty-four million, two hundred fifty-four thousand, ten".