45854149809600 has 1344 divisors, whose sum is σ = 184932367142400. Its totient is φ = 10959556608000.

The previous prime is 45854149809553. The next prime is 45854149809607. The reversal of 45854149809600 is 690894145854.

45854149809600 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 4 + 14 + 9 + 8 + 0 + 9 + 600 = 666.

It is a super-2 number, since 2×45854149809600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45854149809607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16790240235 + ... + 16790242965.

Almost surely, 2^{45854149809600} is an apocalyptic number.

45854149809600 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 45854149809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92466183571200).

45854149809600 is an abundant number, since it is smaller than the sum of its proper divisors (139078217332800).

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

45854149809600 is a wasteful number, since it uses less digits than its factorization.

45854149809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 45854149809600 in words is "forty-five trillion, eight hundred fifty-four billion, one hundred forty-nine million, eight hundred nine thousand, six hundred".