45966268221408 has 144 divisors (see below), whose sum is σ = 130955405083776. Its totient is φ = 15294107761920.

The previous prime is 45966268221403. The next prime is 45966268221421. The reversal of 45966268221408 is 80412286266954.

45966268221408 is a `hidden beast` number, since 4 + 5 + 96 + 62 + 6 + 82 + 2 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45966268221408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45966268221403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724222891 + ... + 724286357.

It is an arithmetic number, because the mean of its divisors is an integer number (909412535304).

Almost surely, 2^{45966268221408} is an apocalyptic number.

45966268221408 is a gapful number since it is divisible by the number (48) 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 45966268221408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65477702541888).

45966268221408 is an abundant number, since it is smaller than the sum of its proper divisors (84989136862368).

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

45966268221408 is a wasteful number, since it uses less digits than its factorization.

45966268221408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68037 (or 68026 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 45966268221408 in words is "forty-five trillion, nine hundred sixty-six billion, two hundred sixty-eight million, two hundred twenty-one thousand, four hundred eight".