45270916300800 has 1152 divisors, whose sum is σ = 167449151675520. Its totient is φ = 11682761932800.

The previous prime is 45270916300787. The next prime is 45270916300843. The reversal of 45270916300800 is 800361907254.

45270916300800 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 0 + 9 + 1 + 630 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×45270916300800³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71744716485 + ... + 71744717115.

It is an arithmetic number, because the mean of its divisors is an integer number (145355166385).

It is a 1-persistent number, because it is pandigital, but 2⋅45270916300800 = 90541832601600 is not.

Almost surely, 2^{45270916300800} is an apocalyptic number.

45270916300800 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 45270916300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83724575837760).

45270916300800 is an abundant number, since it is smaller than the sum of its proper divisors (122178235374720).

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

45270916300800 is a wasteful number, since it uses less digits than its factorization.

45270916300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 45270916300800 in words is "forty-five trillion, two hundred seventy billion, nine hundred sixteen million, three hundred thousand, eight hundred".