45490634276416 has 168 divisors, whose sum is σ = 109721308201344. Its totient is φ = 18296467537920.

The previous prime is 45490634276359. The next prime is 45490634276447. The reversal of 45490634276416 is 61467243609454.

45490634276416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28158096 + ... + 29729776.

It is an arithmetic number, because the mean of its divisors is an integer number (653103025008).

Almost surely, 2^{45490634276416} is an apocalyptic number.

45490634276416 is a gapful number since it is divisible by the number (46) 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 45490634276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54860654100672).

45490634276416 is an abundant number, since it is smaller than the sum of its proper divisors (64230673924928).

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

45490634276416 is a wasteful number, since it uses less digits than its factorization.

45490634276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571829 (or 1571766 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 61.

The spelling of 45490634276416 in words is "forty-five trillion, four hundred ninety billion, six hundred thirty-four million, two hundred seventy-six thousand, four hundred sixteen".