45526685090000 has 300 divisors, whose sum is σ = 112097241934524. Its totient is φ = 17905494528000.

The previous prime is 45526685089999. The next prime is 45526685090027. The reversal of 45526685090000 is 9058662554.

It can be written as a sum of positive squares in 30 ways, for example, as 45179745241744 + 346939848256 = 6721588^2 + 589016^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16276968602 + ... + 16276971398.

Almost surely, 2^{45526685090000} is an apocalyptic number.

45526685090000 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 45526685090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56048620967262).

45526685090000 is an abundant number, since it is smaller than the sum of its proper divisors (66570556844524).

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

45526685090000 is a wasteful number, since it uses less digits than its factorization.

45526685090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 50.

The spelling of 45526685090000 in words is "forty-five trillion, five hundred twenty-six billion, six hundred eighty-five million, ninety thousand".