54145170648576 has 1200 divisors, whose sum is σ = 191100354508800. Its totient is φ = 15216031014912.

The previous prime is 54145170648559. The next prime is 54145170648577. The reversal of 54145170648576 is 67584607154145.

54145170648576 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 5 + 17 + 0 + 6 + 48 + 576 = 666.

54145170648576 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 (54145170648577) 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, 58917486645 + ... + 58917487563.

It is an arithmetic number, because the mean of its divisors is an integer number (159250295424).

Almost surely, 2^{54145170648576} is an apocalyptic number.

54145170648576 is a gapful number since it is divisible by the number (56) 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 54145170648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95550177254400).

54145170648576 is an abundant number, since it is smaller than the sum of its proper divisors (136955183860224).

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

54145170648576 is an equidigital number, since it uses as much as digits as its factorization.

54145170648576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 54145170648576 in words is "fifty-four trillion, one hundred forty-five billion, one hundred seventy million, six hundred forty-eight thousand, five hundred seventy-six".