45264798933120 has 1024 divisors, whose sum is σ = 183731122713600. Its totient is φ = 10433281130496.

The previous prime is 45264798933119. The next prime is 45264798933139. The reversal of 45264798933120 is 2133989746254.

45264798933120 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 479 + 8 + 9 + 33 + 120 = 666.

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, 752289277 + ... + 752349443.

It is an arithmetic number, because the mean of its divisors is an integer number (179424924525).

It is a 1-persistent number, because it is pandigital, but 2⋅45264798933120 = 90529597866240 is not.

Almost surely, 2^{45264798933120} is an apocalyptic number.

45264798933120 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 45264798933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91865561356800).

45264798933120 is an abundant number, since it is smaller than the sum of its proper divisors (138466323780480).

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

45264798933120 is a wasteful number, since it uses less digits than its factorization.

45264798933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60422 (or 60404 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 45264798933120 in words is "forty-five trillion, two hundred sixty-four billion, seven hundred ninety-eight million, nine hundred thirty-three thousand, one hundred twenty".