45146412654420 has 384 divisors, whose sum is σ = 158416118784000. Its totient is φ = 9332738611200.

The previous prime is 45146412654347. The next prime is 45146412654457. The reversal of 45146412654420 is 2445621464154.

It is a super-3 number, since 3×45146412654420³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45146412654420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 707802930 + ... + 707866710.

It is an arithmetic number, because the mean of its divisors is an integer number (412541976000).

Almost surely, 2^{45146412654420} 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 45146412654420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79208059392000).

45146412654420 is an abundant number, since it is smaller than the sum of its proper divisors (113269706129580).

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

45146412654420 is a wasteful number, since it uses less digits than its factorization.

45146412654420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64599 (or 64597 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 45146412654420 in words is "forty-five trillion, one hundred forty-six billion, four hundred twelve million, six hundred fifty-four thousand, four hundred twenty".