45264900556800 has 1440 divisors, whose sum is σ = 180792489477600. Its totient is φ = 11155636224000.

The previous prime is 45264900556721. The next prime is 45264900556807. The reversal of 45264900556800 is 865500946254.

45264900556800 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 4 + 9 + 0 + 0 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×45264900556800² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45264900556807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3230661795 + ... + 3230675805.

It is an arithmetic number, because the mean of its divisors is an integer number (125550339915).

Almost surely, 2^{45264900556800} is an apocalyptic number.

45264900556800 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 45264900556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90396244738800).

45264900556800 is an abundant number, since it is smaller than the sum of its proper divisors (135527588920800).

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

45264900556800 is a wasteful number, since it uses less digits than its factorization.

45264900556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14115 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 45264900556800 in words is "forty-five trillion, two hundred sixty-four billion, nine hundred million, five hundred fifty-six thousand, eight hundred".