54614385745920 has 4032 divisors, whose sum is σ = 263589298592256. Its totient is φ = 10099579944960.

The previous prime is 54614385745891. The next prime is 54614385745921. The reversal of 54614385745920 is 2954758341645.

It is a happy number.

54614385745920 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 4 + 3 + 8 + 574 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×54614385745920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54614385745921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 815140085727 + ... + 815140085793.

It is an arithmetic number, because the mean of its divisors is an integer number (65374330008).

It is a 1-persistent number, because it is pandigital, but 2⋅54614385745920 = 109228771491840 is not.

Almost surely, 2^{54614385745920} 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 54614385745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131794649296128).

54614385745920 is an abundant number, since it is smaller than the sum of its proper divisors (208974912846336).

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

54614385745920 is a wasteful number, since it uses less digits than its factorization.

54614385745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 54614385745920 in words is "fifty-four trillion, six hundred fourteen billion, three hundred eighty-five million, seven hundred forty-five thousand, nine hundred twenty".