45343556642304 has 560 divisors, whose sum is σ = 142696899180000. Its totient is φ = 14359931486208.

The previous prime is 45343556642291. The next prime is 45343556642317. The reversal of 45343556642304 is 40324665534354.

45343556642304 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 3 + 5 + 566 + 42 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45343556642291) and next prime (45343556642317).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1279103172 + ... + 1279138620.

Almost surely, 2^{45343556642304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45343556642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71348449590000).

45343556642304 is an abundant number, since it is smaller than the sum of its proper divisors (97353342537696).

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

45343556642304 is an equidigital number, since it uses as much as digits as its factorization.

45343556642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35657 (or 35626 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 54.

The spelling of 45343556642304 in words is "forty-five trillion, three hundred forty-three billion, five hundred fifty-six million, six hundred forty-two thousand, three hundred four".