45490266247680 has 1600 divisors, whose sum is σ = 168967954108800. Its totient is φ = 11741080190976.

The previous prime is 45490266247579. The next prime is 45490266247711. The reversal of 45490266247680 is 8674266209454.

It is a happy number.

45490266247680 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 0 + 26 + 62 + 476 + 80 = 666.

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, 305303800246 + ... + 305303800394.

It is an arithmetic number, because the mean of its divisors is an integer number (105604971318).

Almost surely, 2^{45490266247680} is an apocalyptic number.

45490266247680 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 45490266247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84483977054400).

45490266247680 is an abundant number, since it is smaller than the sum of its proper divisors (123477687861120).

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

45490266247680 is an frugal number, since it uses more digits than its factorization.

45490266247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 45490266247680 in words is "forty-five trillion, four hundred ninety billion, two hundred sixty-six million, two hundred forty-seven thousand, six hundred eighty".