45533856240000 has 1280 divisors, whose sum is σ = 176805284198400. Its totient is φ = 11510231040000.

The previous prime is 45533856239969. The next prime is 45533856240013. The reversal of 45533856240000 is 4265833554.

45533856240000 is a `hidden beast` number, since 4 + 5 + 53 + 38 + 562 + 4 + 0 + 0 + 0 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 5613835945 + ... + 5613844055.

It is an arithmetic number, because the mean of its divisors is an integer number (138129128280).

Almost surely, 2^{45533856240000} is an apocalyptic number.

45533856240000 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 45533856240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88402642099200).

45533856240000 is an abundant number, since it is smaller than the sum of its proper divisors (131271427958400).

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

45533856240000 is a wasteful number, since it uses less digits than its factorization.

45533856240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8290 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 45533856240000 in words is "forty-five trillion, five hundred thirty-three billion, eight hundred fifty-six million, two hundred forty thousand".